Katayama Soichiro

カタヤマソウイチロウ | Katayama Soichiro

Affiliation and department：
Job title：教授

Research field (2)： Mathematical analysis , Basic analysis

Research keywords (2)：非線形偏微分方程式 , Nonlinear partial differential equations

Research theme for competitive and other funds (14)：

2018 - 2023 非線形波動に関連した偏微分方程式系の解の大域存在のための構造条件と漸近挙動
2014 - 2018 Global existence and the asymptotic behavior for partial diffierential equations concerning nonlinear waves
2013 - 2016 Study on oscillation and singularity in mass resonance
2012 - 2016 Global behavior for nonlinear wave
2011 - 2013 Global existence and asymptotic behavior for systems of nonlinear hyperbolic equations

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Papers (39)：

Soichiro Katayama, Kyouhei Wakasa, Borislav Yordanov. Decay property for nonlinear damped wave equations in one space dimension. Journal of Differential Equations. 2024. 404. 279-296
Minggang CHENG, Soichiro KATAYAMA. Remarks on weaker null conditions for two kinds of systems of semilinear wave equations in three space dimensions. Hokkaido Mathematical Journal. 2024. 53. 1. 139-174
Minggang Cheng, Soichiro Katayama. Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition. Communications on Pure and Applied Analysis. 2022. 21. 9. 3117-3117
Soichiro Katayama, Daisuke Sakoda. Asymptotic behavior for a class of derivative nonlinear Schrödinger system. SN Partial Differential Equations and Applications. 2020. 1. 3
Soichiro Katayama. Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition. The Role of Metrics in the Theory of Partial Differential Equations, Advanced Studies in Pure Mathematics 85, Mathematical Society of Japan, Tokyo. 2020. 215-225

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MISC (8)：

Soichiro Katayama. The null condition for systems of nonlinear wave equations and its related topics. Sugaku Expositions. 2024. 37. 1. 79-106
片山聡一郎. 非線形波動方程式系に対する零条件とその周辺. 数学. 2021. 73. 4. 380-404
Katayama Soichiro. Asymptotic Behavior for Systems of Nonlinear Wave Equations with Multiple Speeds in 3D (Geometric Aspect of Partial Differential Equations and Conservation Laws). RIMS Kokyuroku. 2013. 1842. 69-88
Katayama Soichiro, Tagawa Hiroyuki. An Algebraic Model for the Plane Geometry in Junior High School. Bulletin of the Faculty of Education, Wakayama University. Educational science. 2012. 62. 109-118
Soichiro Katayama, Hideo Kubo. On the large time behavior of solutions to semilinear system of the wave equation. Proceedings of the 5th International ISSAC congress. 2009

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Books (1)：

Global Solutions and the Asymptotic Behavior for Nonlinear Wave Equations with Small Initial Data (MSJ Memoirs Vol. 36)
Mathematical Society of Japan 2017 ISBN:9784864970549

Professional career (1)：

Association Membership(s) (1)：

日本数学会

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