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Researcher DataBase - Personal Information : ADACHI Shinji

ADACHI Shinji
Professor
College of Engineering - Division of Mathematical and Systems Engineering
Faculty of Engineering - Department of Mathematical and Systems Engineering Graduate School of Integrated Science and Technology　Department of Engineering - Mathematical and Systems Engineering Course


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Last updated : 2025/10/24 17:24:12

Basic information on teaching staff

【Degrees earned】
Doctor of Science 　Waseda University 　 2001/3
Master of Science 　Waseda University 　 1998/3
【research area】
Natural Science - Mathematical analysis
【research themes】
Moser-Trudinger type inequalities
Singular Hamiltonian systems
Quasilinear elliptic equations
Variational approach to nonlinear partial differential equations
【Research Keyword】
Variational problems, Differential equations
【Academic societies you belong to】
・Mathematical Society of Japan
【URL】
https://wwp.shizuoka.ac.jp/adachi/
 

Research information

【Papers, etc.】
[1]. Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation
Manuscripta Mathematica 172/ 933-970 (2023) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi, Norihisa Ikoma, Tatsuya Watanabe [DOI]
[2]. G-invariant positive solutions for a class of locally superlinear Schrödinger equations, Journal of Mathematical Analysis and Applications
Journal of Mathematical Analysis and Applications 501/1 - 125765 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi, Tatsuta Watanabe [DOI]
[3]. Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with H^1-critical growth in R^3
Applicable Analysis 101/2 671-691 (2022) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi, Masataka Shibata, Tatsuya Watanabe [DOI]
[4]. Asymptotic property of ground states for a class of quasilinear Schrödinger equations with H^1-critical growth
Calculus of Variations and Partial Differential Equations 58/3 - 88 (2019) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] Shinji Adachi, Masataka Shibata, Tatsuya Watanabe [DOI]
[5]. A note on the uniqueness and non-degeneracy of positive radial solutions for semilinear elliptic problems and its application
Acta Mathematica Scientia 38/4 1121-1142 (2018) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]Shinji Adachi [共著者]Masataka Shibata,Tatsuya Watanabe
【Books, etc.】
[1].
（2008）
[Book type]book(educational)
[Sole author, co-author, or author and editor] joint work
[Author]星賀 彰,高野 優,関根 義浩,足達 慎二
[Notes] 作成全般
[2].
（2007）
[Book type]book(educational)
[Sole author, co-author, or author and editor] joint work
[Author]星賀 彰,高野 優,関根 義浩,足達 慎二
[Notes] 作成全般
【Academic conference/research presentations】
[1]. On the existence of ground state solutions to some elliptic equations with Sobolev critical growth
Non-compactness phenomena on critical problems and related topics （2023/11/18） other
[Presenter]足達慎二
[Notes] 大阪公立大学
[2]. Sobolev 臨界型の半線形楕円型方程式に対する基底状態解の存在について
日本数学会秋季総合分科会関数方程式論分科会 （2023/9/20） other
[Presenter]足達慎二
[Notes] 東北大学
[3]. On the existence and asymptotic behavior of positive solutions for a class of locally superlinear elliptic equation
Workshop on Variational Methods and Functional Inequalities (OCAMI) （2023/2/） invited
[Presenter]足達慎二
[Notes] 大阪公立大学
[4]. On the existence and asymptotic behavior of positive solutions for some elliptic equation with locally superlinear nonlinearity
Workshop on recent progress in standing waves for nonlinear Schrödinger equations （2022/11/） invited
[Presenter]足達慎二
[Notes] 京都産業大学
[5]. 局所的優線形な非線形楕円型方程式の正値解の存在と漸近挙動について
第181回神楽坂解析セミナー （2022/7/） invited
[Presenter]足達慎二
[Notes] 東京理科大学
【Grants-in-aid for Scientific Research 】
[1]. 非線形楕円型方程式に対する変分解析の新展開 （ 2023/4 ～ 2028/3 ） Grant-in-Aid for Scientific Research (C) leader

[2]. 準線形楕円型偏微分方程式の解構造への変分的アプローチ （ 2018/4 ～ 2024/3 ） Grant-in-Aid for Scientific Research (C) leader

[3]. 準線形シュレディンガー方程式におけるラグランジュ乗数問題と安定性解析への応用 （ 2016/4 ～ 2018/3 ） Grant-in-Aid for Scientific Research (C) member

[4]. 有界変動函数の空間における発展方程式の研究 （ 2011/4 ～ 2015/3 ） Grant-in-Aid for Scientific Research (C) member

[5]. 変分的手法による特異ハミルトン系の周期軌道存在問題 （ 2008/4 ～ 2011/3 ） Grant-in-Aid for Young Scientists (B) leader

【Awards & Honors】
[1]. The 9th Hukuhara Prize Studies on semi-linear and quasi-linear elliptic equations （2017/12)
[Association] Division of Functional Equations The Mathematical Society of Japan
【Holding academic or research conferences, etc.】
[1]. 第18回浜松偏微分方程式研究集会 （2023/12)
[Role at conference, etc.] is leader [Site of conference, etc.] 静岡大学浜松キャンパス
[Notes] 学会主催者（静岡大学工学部共通講座数学教室）
[2]. 第17回浜松偏微分方程式研究集会 （2019/12)
[Role at conference, etc.] is leader [Site of conference, etc.] 静岡大学浜松キャンパス
[Notes] 学会主催者（静岡大学工学部共通講座数学教室）
[3]. 第16回浜松偏微分方程式研究集会 （2018/12)
[Role at conference, etc.] is leader [Site of conference, etc.] 静岡大学浜松キャンパス
[Notes] 学会主催者（静岡大学工学部共通講座数学教室）
[4]. 第15回浜松偏微分方程式研究集会 （2017/12)
[Role at conference, etc.] is leader [Site of conference, etc.] 静岡大学浜松キャンパス
[Notes] 学会主催者（静岡大学工学部共通講座数学教室）
[5]. 第14回浜松偏微分方程式研究集会 （2016/12)
[Role at conference, etc.] is leader [Site of conference, etc.] 静岡大学浜松キャンパス
[Notes] 学会主催者（静岡大学工学部共通講座数学教室）

Education related information

【Courses being taught this academic year】
[1]. Graduate School Course(Master's) 数学解析 （2025(FY) - first semester )
[2]. Faculty Course 応用数学Ⅰ （2025(FY) - first semester )
[Notes] 副担当
[3]. Faculty Course 応用数学Ⅱ （2025(FY) - first semester )
[4]. Faculty Course 応用数学Ⅳ （2025(FY) - second semester )
[5]. Faculty Course 微分積分学Ⅱおよび演習 （2025(FY) - second semester )
【Number of students advising】
2023(FY)
Number of undergraduate students(junior students) 0
Number of undergraduate students(senior students) 1
Number of master's course students : 0
Number of doctorate course students (main advisor) : 0 Number of doctorate course students (assistant advisor) : 0
2020(FY)
Number of undergraduate students(junior students) 0
Number of undergraduate students(senior students) 1
Number of master's course students : 0
Number of doctorate course students (main advisor) : 0 Number of doctorate course students (assistant advisor) : 0
2018(FY)
Number of undergraduate students(junior students) 0
Number of undergraduate students(senior students) 0
Number of master's course students : 1
Number of doctorate course students (main advisor) : 0 Number of doctorate course students (assistant advisor) : 0
2017(FY)
Number of undergraduate students(junior students) 0
Number of undergraduate students(senior students) 0
Number of master's course students : 1
Number of doctorate course students (main advisor) : 0 Number of doctorate course students (assistant advisor) : 0
2016(FY)
Number of undergraduate students(junior students) 0
Number of undergraduate students(senior students) 1
Number of master's course students : 0
Number of doctorate course students (main advisor) : 0 Number of doctorate course students (assistant advisor) : 0
【Information education-related information.】
[1]. 数学の広場 （2019/4 )
[2]. 数学の広場 （2016/4 )
[3]. 数学の広場 （2015/4 )
[4]. 数学の広場 （2014/4 )
[5]. 数学の広場 （2013/4 )

Contributions to society

【Seminar,Workshop, Event, etc.】
[1]. other 入試問題分析に関する懇談会 （2016/7 - 2016/7 )
[Notes] 静岡大学 大学会館３階ホール
[2]. other 入試問題分析に関する懇談会 （2015/7 - 2015/7 )
[Details] 入試問題分析に関する懇談会（静岡県）に出席し，高校教員との意見交換会を行った。
[Notes] 静岡大学 大学会館３階ホール
[3]. lecture meeting 平成27年度数学科大学入試問題研究会 （2015/6 - 2015/6 )
[Details] 入試問題に関する講演を行った
[Notes] 名城大学
[4]. lecture meeting 平成24年度静岡大学教員免許状更新講習 （2012/8 )
[Details] 高校生にもわかる数学の理論と応用
[Notes] 開催場所（静岡大学）
【Committees outside the university, etc.】
[1]. 数学通信常任編集委員 （2024/4 - 2025/3 ) [Association] 日本数学会
[2]. 日本数学会全国区代議員（評議員） （2024/3 - 2025/2 ) [Association] 日本数学会

International contributions

Others