Toshitaka Matsumoto - My portal

Profile Information

Affiliation: Professor, Faculty of Science - Department of Mathematics, Shizuoka University

Degree: Doctor of Science(Sep, 1995, Hiroshima University)

J-GLOBAL ID: 201501024553665657
researchmap Member ID: 7000011807

Research Interests

非線形半群

Research Areas

Natural sciences / Basic analysis /

Papers

Evolution equations governed by quasilinear operators satisfying Caratheodory's conditions

Toshitaka Matsumoto, Hirokazu Oka, Naoki Tanaka

Dissertationes Mathematicae, 571 1-70, Feb, 2022 Peer-reviewed
Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant

責任著者, 松本敏隆, 共著者, 田中直樹

Nonlinear Analysis, 162((num)) 91-112, Jul, 2017 Peer-reviewed
Abstract Cauchy problem for weakly continuous operators

Toshitaka Matsumoto, Naoki Tanaka

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 435(1) 267-285, Mar, 2016 Peer-reviewed
Nonlinear perturbations of a class of holomorphic semigroups of growth order α by comparison theorems for Volterra equations

Toshitaka Matsumoto, Naoki Tanaka

Nonlinear Analysis, Theory, Methods and Applications, 84 146-175, 2013 Peer-reviewed
A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type

Toshitaka Matsumoto, Naoki Tanaka

JOURNAL OF APPROXIMATION THEORY, 163(9) 1217-1237, Sep, 2011 Peer-reviewed

Misc.

Well-posedness for the complex Ginzburg-Landau equations

T. Matsumoto, N. Tanaka

GAKUTO Internat. Ser. Math. Sci. Appl., 32 429-442, Feb, 2010

Presentations

一般化安定性条件の下での線形発展作用素の生成

松本敏隆, 田中直樹

日本数学会春季年会, Mar 18, 2023
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

松本敏隆

日本数学会実函数論分科会, Sep, 2020
サイズ構造モデルへの抽象準線形理論的アプローチ

松本敏隆

第200回広島数理解析セミナー, May 27, 2016 Invited
サイズ構造モデルへの準線形理論的接近法

松本敏隆

日本数学会年会実函数論分科会, Mar, 2016
弱連続作用素に対する抽象的Cauchy問題

松本敏隆

第13回浜松偏微分方程式研究集会, Dec, 2015 Invited
弱連続作用素に対する抽象的Cauchy問題について

松本敏隆

ポテンシャル論セミナー, Dec, 2015 Invited
Abstract Cauchy problem for weakly continuous operators

松本敏隆

「応用解析」研究会, Dec, 2015 Invited

Teaching Experience

Professional Memberships

The Mathematical Society of Japan

Research Projects

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

基盤研究(C), Apr, 2020
Studies on well-posedness for quasilinear partial differential equations with constraints

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2017 - Mar, 2020

Matsumoto Toshitaka
Basic theory of Lipschitz evolution operators and applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2019

KOBAYASHI Yoshikazu, TOMIZAWA Yukino
Well-posedness for partial differential equations with time-dependent constraints

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2017

MATSUMOTO Toshitaka, TANAKA Naoki
Generation, convergence and approximation of Lipschitz evolution operators in Banach spaces

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2016

Yoshikazu Kobayashi, MATSUMOTO Toshitaka, KOBAYASI Kazuo, OHWA Hiroki
Well-posedness for nonautonomous differential systems with dissipativity structure described by metric-like functionals

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2016

TANAKA Naoki, SHIMIZU Senjo, ISHII Katsuyuki, MATSUMOTO Toshitaka
Studies on well-posedness for parabolic equations with nonlinear constraints

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2014

MATSUMOTO TOSHITAKA, KOBAYASHI Yoshikazu, WATANABE Hiroshi, TANAKA Naoki
Studies on well-posedness for semilinear evolution equations with constraints and their applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2008 - 2010

MATSUMOTO Toshitaka, KOBAYASHI Yoshikazu, TANAKA Naoki, OHARU Shinnosuke
Wellposedness of differential equations whose solutions depend Lipschitz continuously on their initial data

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2009

TANAKA Naoki, TAMURA Hideo, ASAKURA Fumioki, KUMURA Hironori, MATSUMOTO Toshitaka
Wellposedness of the Cauchy problems for hyperbolic systems with large data

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2004 - 2006

TANAKA Naoki, TAMURA Hideo, ASAKURA Fumioki, MATSUMOTO Toshitaka, SOBUKAWA Takuya, KATSUDA Atsushi
New development of convective reaction-diffusion systems and validation of numerical computation

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2004 - 2006

OHARU Shinnosuke, KENMOCHI Nobuyuki, AIKI Toyohiko, SHIBATA Yoshihiro, SUZUKI Atsushi, MATSUMOTO Toshitaka
画像処理の数理における実解析的手法の探索

科学研究費助成事業, 萌芽研究, 日本学術振興会, 2003 - 2005

小川卓克, 服部哲弥, 木村正人, 後藤俊一, 石井克幸, 松本敏隆, 長藤かおり
Well-posedness and approximation of Cauchy problems for hyperbolic systems

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2002 - 2003

TANAKA Naoki, MATSUMOTO Toshitaka, KOBAYASHI Yoshikazu
Asymptotic Profiles of Solutions to Nonlinear Convection-Diffusion Equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2001 - 2002

NAGAI Toshitaka, KURA Takeshi, IKEHATA Ryo, YOSHIDA Kiyoshi, KOBAYASHI Takayuki, MATSUMOTO Toshitaka
Advancement oh the theory of large sized convection-diffusion systems and reliability analysis for numerical computations.

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2000 - 2001

OHARU Shinnosuke, KENMOCHI Nobuyuki, MIMURA Masayasu, MATSUMOTO Toshitaka, TAKAHASHI Tadayasu, KOBAYASI Yoshikazu
非線形数値解析における粘性解の方法

科学研究費助成事業, 萌芽的研究, 日本学術振興会, 1999 - 2000

小川卓克, 後藤俊一, 隠居良行, 杉田洋, 松本敏隆
半線形発展方程式と解析的半群の非線形摂動

科学研究費助成事業, 奨励研究(A), 日本学術振興会, 1996 - 1996

松本敏隆
Nonlinear analysis and applications

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 1996 - 1996

OHARU Shinnosuke, FUJIMA Syouiti, TABATA Masahisa, SAKAMOTO Kunimochi, TAIRA Kazuaki, MATSUMOTO Toshitaka
Evolution equations and their applications to nonlinear problems

Grants-in-Aid for Scientific Research, Grant-in-Aid for General Scientific Research (B), Japan Society for the Promotion of Science, 1994 - 1995

OHARU Shinnosuke, SAKAMOTO Kunimochi, OKAMOTO Kiyosato, KUBO Izumi, MAEDA Fumiyuki, MATSUMOTO Toshitaka
ポテンシャル論的手法の非線形問題への応用

科学研究費助成事業, 一般研究(C), 日本学術振興会, 1994 - 1994

前田文之, 松本敏隆, 内藤雄基, 内藤学, 大春愼之助