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J-GLOBAL ID：201501024553665657
Update date: Feb. 01, 2024
Matsumoto Toshitaka
マツモト トシタカ | Matsumoto Toshitaka
Affiliation and department：
Job title：
Professor
Research field (1)：
Basic analysis
Research keywords (1)：
非線形半群
Research theme for competitive and other funds (21)：
- 2020 - 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
- 2017 - 2020 Studies on well-posedness for quasilinear partial differential equations with constraints
- 2016 - 2019 Basic theory of Lipschitz evolution operators and applications
- 2014 - 2017 Well-posedness for partial differential equations with time-dependent constraints
- 2013 - 2016 Generation, convergence and approximation of Lipschitz evolution operators in Banach spaces
- 2013 - 2016 Well-posedness for nonautonomous differential systems with dissipativity structure described by metric-like functionals
- 2011 - 2014 Studies on well-posedness for parabolic equations with nonlinear constraints
- 2008 - 2010 Studies on well-posedness for semilinear evolution equations with constraints and their applications
- 2007 - 2009 Wellposedness of differential equations whose solutions depend Lipschitz continuously on their initial data
- 2004 - 2006 Wellposedness of the Cauchy problems for hyperbolic systems with large data
- 2004 - 2006 New development of convective reaction-diffusion systems and validation of numerical computation
- 2003 - 2005 画像処理の数理における実解析的手法の探索
- 2002 - 2003 Well-posedness and approximation of Cauchy problems for hyperbolic systems
- 2001 - 2002 Asymptotic Profiles of Solutions to Nonlinear Convection-Diffusion Equations
- 2000 - 2001 Advancement oh the theory of large sized convection-diffusion systems and reliability analysis for numerical computations.
- 1999 - 2000 非線形数値解析における粘性解の方法
- 1996 - 1996 半線形発展方程式と解析的半群の非線形摂動
- 1996 - 1996 Nonlinear analysis and applications
- 1994 - 1995 Evolution equations and their applications to nonlinear problems
- 1994 - 1994 ポテンシャル論的手法の非線形問題への応用
- 1992 - 1992 非線形発展方程式とその偏微分方程式を含む非線形問題への応用
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Papers (5)：
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Toshitaka Matsumoto, Hirokazu Oka, Naoki Tanaka. Evolution equations governed by quasilinear operators satisfying Caratheodory's conditions. Dissertationes Mathematicae. 2022. 571. 1-70
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責任著者, 松本 敏隆, 共著者, 田中直樹. Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant. Nonlinear Analysis. 2017. 162. (num). 91-112
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Toshitaka Matsumoto, Naoki Tanaka. Abstract Cauchy problem for weakly continuous operators. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2016. 435. 1. 267-285
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Toshitaka Matsumoto, Naoki Tanaka. Nonlinear perturbations of a class of holomorphic semigroups of growth order α by comparison theorems for Volterra equations. Nonlinear Analysis, Theory, Methods and Applications. 2013. 84. 146-175
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Toshitaka Matsumoto, Naoki Tanaka. A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type. JOURNAL OF APPROXIMATION THEORY. 2011. 163. 9. 1217-1237
MISC (1)：
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T. Matsumoto, N. Tanaka. Well-posedness for the complex Ginzburg-Landau equations. GAKUTO Internat. Ser. Math. Sci. Appl. 2010. 32. 429-442
Lectures and oral presentations (7)：
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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)
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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)
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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)
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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)
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弱連続作用素に対する抽象的Cauchy問題
(第13回浜松偏微分方程式研究集会 2015)
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Professional career (1)：
- Doctor of Science (Hiroshima University)
Association Membership(s) (1)：
The Mathematical Society of Japan
