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Researcher DataBase - Personal Information : MATSUMOTO Toshitaka

MATSUMOTO Toshitaka Professor [Scopus Author ID] 7407959580 College of Science - Division of Mathematics Faculty of Science - Department of Mathematics Graduate School of Integrated Science and Technology　Department of Science - Mathematics Course matsumoto.toshitaka@@@shizuoka.ac.jp
Last updated : 2025/06/11 2:09:50

Basic information on teaching staff

Doctor of Science 　Hiroshima University 　 1995/9

Natural Science - Basic analysis

Nonlinear semigroup theory

nonlinear semigroup

・The Mathematical Society of Japan

Research information

[1]. Evolution equations governed by quasilinear operators satisfying Caratheodory'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 and Naoki Tanaka [Notes] 論文全般に渡って議論しながら作成したため、担当箇所を分けることは出来ない。
[DOI]
[2]. Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant
Nonlinear Analysis 162/(num) 91- 112 (2017) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]松本敏隆 [共著者]田中直樹 [Notes] 論文全般に渡るため担当箇所分離不可能。
[3]. Abstract Cauchy problem for weakly continuous operators
Journal of Mathematical Analysis and Applications 435/1 267-285 (2016) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] [責任著者]松本敏隆 [共著者]田中直樹 [Notes] 論文全般に渡り意見交換しながら互いに執筆・修正・加筆等をしたため、執筆担当個所を明確に分けることは出来ない。
[4]. Nonlinear perturbations of a class of holomorphic semigroups of growth order alpha by comparison theorems for Volterra equations
Nonlinear Analysis T.M.A 84/ 146-175 (2013) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] T. Matsumoto and N. Tanaka [DOI]
[5]. A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type
J. Approximation Theory 163/ 1217-1237 (2011) [Refereed] refereed [Internationally co-authored papers] non-internationally co-authored paper
[Lead author or co-author] author
[Author] T. Matsumoto and N. Tanaka [DOI]

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[1]. 一般化安定性条件の下での線形発展作用素の生成
日本数学会春季年会（2023/3/18） other
[Presenter]松本敏隆、田中直樹
[Notes] 中央大学後楽園キャンパス
[2]. Caratheodory条件を満たす準線形作用素に支配される発展方程式に対する適切性と近似可解性について
日本数学会　実函数論分科会（2020/9/） other
[Presenter]松本敏隆
[Notes] 熊本大学（オンライン）
[3]. サイズ構造モデルへの抽象準線形理論的アプローチ
第200回広島数理解析セミナー（2016/5/27） invited
[Presenter]松本敏隆
[Notes] 広島大学理学部
[4]. サイズ構造モデルへの準線形理論的接近法
日本数学会年会　実函数論分科会（2016/3/） other
[Presenter]松本敏隆
[Notes] 筑波大学、日本数学会
[5]. Abstract Cauchy problem for weakly continuous operators
「応用解析」研究会（2015/12/） invited
[Presenter]松本敏隆
[Notes] 早稲田大学、「応用解析」研究会

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[1]. 生成作用素の定義域が稠密でない発展作用素の生成理論の構築とその応用（ 2020/4 ～ 2025/3 ） Grant-in-Aid for Scientific Research (C) leader

[2]. 制約条件を伴った準線形偏微分方程式の適切性の研究（ 2017/4 ～ 2020/3 ） Grant-in-Aid for Scientific Research (C) leader

[3]. リプシッツ発展作用素論の基礎と応用（ 2016/4 ～ 2019/3 ） Grant-in-Aid for Scientific Research (C) member

[4]. 時間に依存する制約条件付き偏微分方程式の適切性の研究（ 2014/4 ～ 2017/3 ） Grant-in-Aid for Scientific Research (C) leader

[5]. バナッハ空間におけるリプシッツ発展作用素の生成・収束・近似（ 2013/4 ～ 2016/3 ） Grant-in-Aid for Scientific Research (C) member

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Education related information

[1]. Faculty Course 常微分方程式論（2024(FY) - first semester )
[2]. Faculty Course 微分積分学演習Ⅰ （2024(FY) - first semester )
[3]. Faculty Course 微分積分学Ｂ（2024(FY) - second semester )
[4]. Faculty Course 偏微分方程式論（2024(FY) - second semester )
[5]. Faculty Course 微分積分学Ｄ（2024(FY) - second semester )

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Contributions to society

International contributions

Others

[1]. 理学部数学科長（2022/4 - 2023/3 )
[2]. 理学部数学科長（2018/4 - 2019/3 )