静岡大学

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Researcher DataBase - Personal Information : Tanaka Naoki

Papers, etc.

【Papers, etc.】
[1]. Well-posedness of nonautonomous abstract Cauchy problems under dissipativity conditions expressed by metric-like functionals Journal of Mathematical Analysis and Applications 542/1 - 128754 (2025) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Tanaka, Naoki [2]. Generalized gradient flows for time-dependent energies and applications to PDEs involving variable exponents Nonlinear Differential Equations and Applications NoDEA 30/5 - 73 (2024) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Akagi, Goro; Tanaka, Naoki [3]. Evolution equations governed by quasilinear operators satisfying Carathéodory's conditions Dissertationes Mathematicae /571 1-70 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Toshitaka Matsumoto; Hirokazu Oka; Naoki Tanaka [DOI] [4]. Well-posedness for fully nonlinear functional differential equations Mathematische Nachrichten 8/294 1595-1628 (2021) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [DOI] [5]. Mutational analysis with transitions whose domains vary in state and that are not necessarily Lipschitz continuous in time Journal of Mathematical Analysis and Applications 498/ 124967- (2021) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka; Kazuki Takami [DOI] [6]. Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals Journal of Mathematical Analysis and Applications 480/ 123406-24 pp. (2019) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [DOI] [7]. Evolution variational inequalities with growth conditions in metric spaces Studia Mathematica 248/2 147-169 (2019) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [DOI] [8]. Well-posedness for mutational equations under a general type of dissipativity conditions Israel Journal of Mathematics 225/ 1-33 (2018) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Yoshikazu Kobayashi; Naoki Tanaka [DOI] [9]. Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant Nonlinear Analysis. Theory, Methods & Applications 162/ 91-112 (2017) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Toshitaka Matsumoto; Naoki Tanaka [10]. Well-posedness and flow invariance for semilinear functional differential equations governed by non-densely defined operators Differential and Integral Equations 30/9-10 695-734 (2017) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Sano Hiroki; Naoki Tanaka [11]. Abstract Cauchy problem for weakly continuous operators Journal of Mathematical Analysis and Applications 435/ 267-285 (2016) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Matsumoto Toshitaka; Naoki Tanaka [12]. Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces Hiroshima Mathematical Journal 45/ 267-307 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Yoshikazu Kobayashi; Naoki Tanaka; Yukino Tomizawa [13]. Flow invariance for differential delay equations Proceedings of the American Mathematical Society 143/ 2459-2468 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [14]. The abstract Cauchy problem for dissipative operators with respect to metric-like functionals Journal of Mathematical Analysis and Applications 421/ 539-566 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [15]. Approximation of semigroups of Lipschitz operators Journal of Mathematical Analysis and Applications 397/ 529-536 (2013) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka; Yoshikazu Kobayashi [16]. Nonlinear perturbations of a class of holomorphic semigroups of growth order α by comparison theorems for Volterra equations Nonlinear Analysis. Theory, Methods & Applications 84/ 146-175 (2013) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Toshitaka Matsumoto; Naoki Tanaka [17]. A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations MATHEMATISCHE NACHRICHTEN 285/ 507- 527 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [18]. A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type JOURNAL OF APPROXIMATION THEORY 163/ 1217-1237 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Toshitaka Matsumoto; Naoki Tanaka [19]. A viability theorem of stochastic semilinear evolution equations ISRAEL JOURNAL OF MATHEMATICS 186/ 1-43 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [20]. A Lipschitz semigroup approach to two-dimensional Navier-Stokes equations NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 72/ 1820-1828 (2010) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Yoshikazu Kobayashi; Naoki Tanaka [21]. Global solvability for abstract semilinear evolution equations MATHEMATISCHE NACHRICHTEN 283/ 1171-1193 (2010) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Hirokazu Oka; Naoki Tanaka [22]. An application of semigroups of locally Lipschitz operators to Carrier equations with acoustic boundary conditions JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 338/2 852-872 (2008) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Yoshikazu Kobayashi; Naoki Tanaka [23]. Approximation of abstract quasilinear evolution equations in the sense of Hadamard TAIWANESE JOURNAL OF MATHEMATICS 12/3 767-792 (2008) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [24]. Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 69/11 4025-4054 (2008) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Toshitaka Matsumoto; Naoki Tanaka [25]. Abstract Cauchy problems for quasi-linear evolution equations with non-densely defined operators TAIWANESE JOURNAL OF MATHEMATICS 11/ 295-337 (2007) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [26]. Semigroups of locally Lipschitz operators associated with semilinear evolution equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 330/ 1042-1067 (2007) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Yoshikazu Kobayashi; Toshitaka Matsumoto; Naoki Tanaka [27]. Convergence and approximation of semigroups of Lipschitz operators NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 61/5 781--821 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Yoshikazu Kobayashi; Naoki Tanaka [28]. Locally Lipschitz continuous integrated semigroups STUDIA MATHEMATICA 167/1 1--16 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [29]. Evolution operators generated by non-densely defined operators MATHEMATISCHE NACHRICHTEN 278/ 1285-1296 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Hirokazu Oka; Naoki Tanaka [30]. Nonautonomous abstract Cauchy problems for strongly measurable families Mathematische Nachrichten 275/ 130-153 (2004) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [31]. Abstract quasilinear equations of second order with Wentzell boundary conditions Journal of Evolution Equations 4/3 313-332 (2004) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka; Klaus-Jochen Engle [32]. Abstract Cauchy problems for quasi-linear evolution equations in the sense of Hadamard. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 89/ 123-160 (2004) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [33]. Semigroups of locally Lipschitz operators Mathematical Journal of Okayama University 44/ 155-170 (2003) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Yoshikazu Kobayashi; Naoki Tanaka [34]. Perturbation theorems of Miyadera type for locally Lipschitz continuous integrated semigroups Studia Mathematica 156/2 177-187 (2003) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [35]. Approximation of regularized evolution operators Archiv der Mathematik 81/1 38-49 (2003) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [36]. Semigroups of Lipschitz operators Advances in Differential Equations 6/5 613-640 (2001) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Yoshikazu Kobayashi; Naoki Tanaka [37]. A characterization of evolution operators Studia Mathematica 146/3 285-299 (2001) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [38]. Approximation of abstract linear integrodifferential equations Studia Mathematica 140/1 1-14 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Hirokazu Oka; Naoki Tanaka [39]. A class of abstract quasi-linear evolution equations of second order Journal of the London Mathematical Society. Second Series 62/1 198-212 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [40]. Generation of linear evolution operators PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 128/ 2007-2015 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [41]. Global solutions of abstract quasi-linear evolution equations of “hyperbolic" type ISRAEL JOURNAL OF MATHEMATICS 110/ 219-252 (1999) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [42]. Nonlinear abstract wave equations with strong damping Journal of Mathematical Analysis and Applications 225/1 46-61 (1998) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Yuhua Lin; Naoki Tanaka [43]. Abstract hyperbolic Volterra integrodifferential equations Journal of Integral Equations and Applications 10/2 195-218 (1998) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Yuhua Lin; Naoki Tanaka [44]. Extension or blow up of classical solutions to quasilinear evolution equations in Banach spaces Nonlinear Analysis. Theory, Methods & Applications 29/11 1287-1301 (1997) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [45]. Abstract quasilinear integrodifferential equations of hyperbolic type Nonlinear Analysis. Theory, Methods & Applications 29/8 903-925 (1997) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Oka Hirokazu; Naoki Tanaka [46]. Approximation of integrated semigroups by "integrated'' discrete parameter semigroups Semigroup Forum 55/1 57-67 (1997) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [47]. Quasilinear evolution equations with non-densely defined operators Differential and Integral Equations 9/5 1067-1106 (1996) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [48]. Nonautonomous integro-differential equations of hyperbolic type Differential and Integral Equations 8/7 1823-1831 (1995) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Hirokazu Oka; Naoki Tanaka [49]. Semilinear equations in the "hyperbolic'' case Nonlinear Analysis. Theory, Methods & Applications 24/5 773-788 (1995) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [50]. α-times integrated semigroups and abstract Cauchy problems Memoirs of the School of Science and Engineering. Waseda University 57/ 267-289 (1994) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Isao Miyadera; Masashi Okubo; Naoki Tanaka [51]. Nonlinear semigroups and evolution governed by "generalized'' dissipative operators Advances in Mathematical Sciences and Applications 3/ 401-426 (1994) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Yoshikazu Kobayashi; Naoki Tanaka [52]. Adjoints of semigroups of linear operators in Banach spaces Journal of Mathematical Analysis and Applications 180/2 386-397 (1993) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka; Satoshi Toriumi; Isao Miyadera [53]. On integrated semigroups which are not exponentially bounded Japan Academy. Proceedings. Series A. Mathematical Sciences 69/6 199-204 (1993) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Isao Miyadera; Masashi Okubo; Naoki Tanaka [54]. C-semigroups and the abstract Cauchy problem Journal of Mathematical Analysis and Applications 170/1 196-206 (1992) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka; Isao Miyadera [55]. Linear evolution equations in Banach spaces Proceedings of the London Mathematical Society. Third Series 63/3 657-672 (1991) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [56]. On perturbation theory for exponentially bounded C-semigroups Semigroup Forum 41/2 215-236 (1990) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [57]. Local C-semigroups and local integrated semigroups Proceedings of the London Mathematical Society 61/1 63-90 (1990) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka; Noboru Okazawa [58]. A remark on exponentially bounded C-semigroups Japan Academy. Proceedings. Series A. Mathematical Sciences 66/2 31-34 (1990) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Isao Miyadera; Naoki Tanaka [59]. C-semigroups and holomorphic semigroups Semigroup Forum 38/2 253-261 (1989) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [60]. Exponentially bounded C-semigroups and generation of semigroups Journal of Mathematical Analysis and Applications 143/2 358-378 (1989) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] co-author [Author] Isao Miyadera; Naoki Tanaka [61]. Exponentially bounded C-semigroups and integrated semigroups Tokyo Journal of Mathematics 12/1 99-115 (1989) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka; Isao Miyadera [62]. On the existence of solutions for functional evolution equations Nonlinear Analysis. Theory, Methods & Applications 12/10 1087-1104 (1988) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka [63]. Some remarks on C-semigroups and integrated semigroups Japan Academy. Proceedings. Series A. Mathematical Sciences 63/5 139-142 (1987) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka; Isao Miyadera [64]. On the exponentially bounded C-semigroups Tokyo Journal of Mathematics 10/1 107-117 (1987) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper [Lead author or co-author] author [Author] Naoki Tanaka

[1]. Well-posedness of nonautonomous abstract Cauchy problems under dissipativity conditions expressed by metric-like functionals
Journal of Mathematical Analysis and Applications 542/1 - 128754 (2025) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Tanaka, Naoki
[2]. Generalized gradient flows for time-dependent energies and applications to PDEs involving variable exponents
Nonlinear Differential Equations and Applications NoDEA 30/5 - 73 (2024) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Akagi, Goro; Tanaka, Naoki
[3]. Evolution equations governed by quasilinear operators satisfying Carathéodory's conditions
Dissertationes Mathematicae /571 1-70 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Toshitaka Matsumoto; Hirokazu Oka; Naoki Tanaka [DOI]
[4]. Well-posedness for fully nonlinear functional differential equations
Mathematische Nachrichten 8/294 1595-1628 (2021) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka [DOI]
[5]. Mutational analysis with transitions whose domains vary in state and that are not necessarily Lipschitz continuous in time
Journal of Mathematical Analysis and Applications 498/ 124967- (2021) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka; Kazuki Takami [DOI]
[6]. Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals
Journal of Mathematical Analysis and Applications 480/ 123406-24 pp. (2019) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka [DOI]
[7]. Evolution variational inequalities with growth conditions in metric spaces
Studia Mathematica 248/2 147-169 (2019) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka [DOI]
[8]. Well-posedness for mutational equations under a general type of dissipativity conditions
Israel Journal of Mathematics 225/ 1-33 (2018) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Yoshikazu Kobayashi; Naoki Tanaka [DOI]
[9]. Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant
Nonlinear Analysis. Theory, Methods & Applications 162/ 91-112 (2017) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Toshitaka Matsumoto; Naoki Tanaka
[10]. Well-posedness and flow invariance for semilinear functional differential equations governed by non-densely defined operators
Differential and Integral Equations 30/9-10 695-734 (2017) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Sano Hiroki; Naoki Tanaka
[11]. Abstract Cauchy problem for weakly continuous operators
Journal of Mathematical Analysis and Applications 435/ 267-285 (2016) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Matsumoto Toshitaka; Naoki Tanaka
[12]. Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces
Hiroshima Mathematical Journal 45/ 267-307 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Yoshikazu Kobayashi; Naoki Tanaka; Yukino Tomizawa
[13]. Flow invariance for differential delay equations
Proceedings of the American Mathematical Society 143/ 2459-2468 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[14]. The abstract Cauchy problem for dissipative operators with respect to metric-like functionals
Journal of Mathematical Analysis and Applications 421/ 539-566 (2015) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[15]. Approximation of semigroups of Lipschitz operators
Journal of Mathematical Analysis and Applications 397/ 529-536 (2013) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka; Yoshikazu Kobayashi
[16]. Nonlinear perturbations of a class of holomorphic semigroups of growth order α by comparison theorems for Volterra equations
Nonlinear Analysis. Theory, Methods & Applications 84/ 146-175 (2013) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Toshitaka Matsumoto; Naoki Tanaka
[17]. A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations
MATHEMATISCHE NACHRICHTEN 285/ 507- 527 (2012) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[18]. A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type
JOURNAL OF APPROXIMATION THEORY 163/ 1217-1237 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Toshitaka Matsumoto; Naoki Tanaka
[19]. A viability theorem of stochastic semilinear evolution equations
ISRAEL JOURNAL OF MATHEMATICS 186/ 1-43 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[20]. A Lipschitz semigroup approach to two-dimensional Navier-Stokes equations
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 72/ 1820-1828 (2010) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Yoshikazu Kobayashi; Naoki Tanaka
[21]. Global solvability for abstract semilinear evolution equations
MATHEMATISCHE NACHRICHTEN 283/ 1171-1193 (2010) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Hirokazu Oka; Naoki Tanaka
[22]. An application of semigroups of locally Lipschitz operators to Carrier equations with acoustic boundary conditions
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 338/2 852-872 (2008) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Yoshikazu Kobayashi; Naoki Tanaka
[23]. Approximation of abstract quasilinear evolution equations in the sense of Hadamard
TAIWANESE JOURNAL OF MATHEMATICS 12/3 767-792 (2008) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[24]. Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 69/11 4025-4054 (2008) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Toshitaka Matsumoto; Naoki Tanaka
[25]. Abstract Cauchy problems for quasi-linear evolution equations with non-densely defined operators
TAIWANESE JOURNAL OF MATHEMATICS 11/ 295-337 (2007) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[26]. Semigroups of locally Lipschitz operators associated with semilinear evolution equations
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 330/ 1042-1067 (2007) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Yoshikazu Kobayashi; Toshitaka Matsumoto; Naoki Tanaka
[27]. Convergence and approximation of semigroups of Lipschitz operators
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 61/5 781--821 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Yoshikazu Kobayashi; Naoki Tanaka
[28]. Locally Lipschitz continuous integrated semigroups
STUDIA MATHEMATICA 167/1 1--16 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[29]. Evolution operators generated by non-densely defined operators
MATHEMATISCHE NACHRICHTEN 278/ 1285-1296 (2005) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Hirokazu Oka; Naoki Tanaka
[30]. Nonautonomous abstract Cauchy problems for strongly measurable families
Mathematische Nachrichten 275/ 130-153 (2004) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[31]. Abstract quasilinear equations of second order with Wentzell boundary conditions
Journal of Evolution Equations 4/3 313-332 (2004) [Refereed] refereed [Internationally co-authored papers] internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka; Klaus-Jochen Engle
[32]. Abstract Cauchy problems for quasi-linear evolution equations in the sense of Hadamard.
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 89/ 123-160 (2004) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[33]. Semigroups of locally Lipschitz operators
Mathematical Journal of Okayama University 44/ 155-170 (2003) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Yoshikazu Kobayashi; Naoki Tanaka
[34]. Perturbation theorems of Miyadera type for locally Lipschitz continuous integrated semigroups
Studia Mathematica 156/2 177-187 (2003) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[35]. Approximation of regularized evolution operators
Archiv der Mathematik 81/1 38-49 (2003) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[36]. Semigroups of Lipschitz operators
Advances in Differential Equations 6/5 613-640 (2001) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Yoshikazu Kobayashi; Naoki Tanaka
[37]. A characterization of evolution operators
Studia Mathematica 146/3 285-299 (2001) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[38]. Approximation of abstract linear integrodifferential equations
Studia Mathematica 140/1 1-14 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Hirokazu Oka; Naoki Tanaka
[39]. A class of abstract quasi-linear evolution equations of second order
Journal of the London Mathematical Society. Second Series 62/1 198-212 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[40]. Generation of linear evolution operators
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 128/ 2007-2015 (2000) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[41]. Global solutions of abstract quasi-linear evolution equations of “hyperbolic" type
ISRAEL JOURNAL OF MATHEMATICS 110/ 219-252 (1999) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[42]. Nonlinear abstract wave equations with strong damping
Journal of Mathematical Analysis and Applications 225/1 46-61 (1998) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Yuhua Lin; Naoki Tanaka
[43]. Abstract hyperbolic Volterra integrodifferential equations
Journal of Integral Equations and Applications 10/2 195-218 (1998) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Yuhua Lin; Naoki Tanaka
[44]. Extension or blow up of classical solutions to quasilinear evolution equations in Banach spaces
Nonlinear Analysis. Theory, Methods & Applications 29/11 1287-1301 (1997) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[45]. Abstract quasilinear integrodifferential equations of hyperbolic type
Nonlinear Analysis. Theory, Methods & Applications 29/8 903-925 (1997) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Oka Hirokazu; Naoki Tanaka
[46]. Approximation of integrated semigroups by "integrated'' discrete parameter semigroups
Semigroup Forum 55/1 57-67 (1997) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[47]. Quasilinear evolution equations with non-densely defined operators
Differential and Integral Equations 9/5 1067-1106 (1996) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[48]. Nonautonomous integro-differential equations of hyperbolic type
Differential and Integral Equations 8/7 1823-1831 (1995) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Hirokazu Oka; Naoki Tanaka
[49]. Semilinear equations in the "hyperbolic'' case
Nonlinear Analysis. Theory, Methods & Applications 24/5 773-788 (1995) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[50]. α-times integrated semigroups and abstract Cauchy problems
Memoirs of the School of Science and Engineering. Waseda University 57/ 267-289 (1994) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Isao Miyadera; Masashi Okubo; Naoki Tanaka
[51]. Nonlinear semigroups and evolution governed by "generalized'' dissipative operators
Advances in Mathematical Sciences and Applications 3/ 401-426 (1994) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Yoshikazu Kobayashi; Naoki Tanaka
[52]. Adjoints of semigroups of linear operators in Banach spaces
Journal of Mathematical Analysis and Applications 180/2 386-397 (1993) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka; Satoshi Toriumi; Isao Miyadera
[53]. On integrated semigroups which are not exponentially bounded
Japan Academy. Proceedings. Series A. Mathematical Sciences 69/6 199-204 (1993) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Isao Miyadera; Masashi Okubo; Naoki Tanaka
[54]. C-semigroups and the abstract Cauchy problem
Journal of Mathematical Analysis and Applications 170/1 196-206 (1992) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka; Isao Miyadera
[55]. Linear evolution equations in Banach spaces
Proceedings of the London Mathematical Society. Third Series 63/3 657-672 (1991) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[56]. On perturbation theory for exponentially bounded C-semigroups
Semigroup Forum 41/2 215-236 (1990) [Refereed] non-refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[57]. Local C-semigroups and local integrated semigroups
Proceedings of the London Mathematical Society 61/1 63-90 (1990) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka; Noboru Okazawa
[58]. A remark on exponentially bounded C-semigroups
Japan Academy. Proceedings. Series A. Mathematical Sciences 66/2 31-34 (1990) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Isao Miyadera; Naoki Tanaka
[59]. C-semigroups and holomorphic semigroups
Semigroup Forum 38/2 253-261 (1989) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[60]. Exponentially bounded C-semigroups and generation of semigroups
Journal of Mathematical Analysis and Applications 143/2 358-378 (1989) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] co-author
[Author] Isao Miyadera; Naoki Tanaka
[61]. Exponentially bounded C-semigroups and integrated semigroups
Tokyo Journal of Mathematics 12/1 99-115 (1989) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka; Isao Miyadera
[62]. On the existence of solutions for functional evolution equations
Nonlinear Analysis. Theory, Methods & Applications 12/10 1087-1104 (1988) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka
[63]. Some remarks on C-semigroups and integrated semigroups
Japan Academy. Proceedings. Series A. Mathematical Sciences 63/5 139-142 (1987) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka; Isao Miyadera
[64]. On the exponentially bounded C-semigroups
Tokyo Journal of Mathematics 10/1 107-117 (1987) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Naoki Tanaka