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J-GLOBAL ID：200901048242845154   Update date: Feb. 17, 2025

Yamauchi Yusuke

ヤマウチ ユウスケ | Yamauchi Yusuke
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Affiliation and department：
Hiroshima Institute of Technology Faculty of Engineering, Department of Intelligent Mechanical Engineering

About Hiroshima Institute of Technology Faculty of Engineering, Department of Intelligent Mechanical Engineering


Research field  (1)： Mathematical analysis
Research keywords  (8)： 非線形偏微分方程式 ,  拡散方程式 ,  反応拡散方程式 ,  連立偏微分方程式系 ,  爆発解 ,  Reaction-Diffusion equation ,  System of partial differential equations ,  Blow-up solutions
Research theme for competitive and other funds  (4)：
  • 2014 - 2018 A new trend of function spaces with variable exponents
  • 2011 - 2013 Classification by the matrix representing the nonlinearity of the blowing up solutions for a reaction-diffusion system
  • 2011 - 2012 Study on asymmetry and anisotropy in blow-up theory for nonlinear parabolic equations
  • 2007 - 冪乗型反応拡散方程式系における同時・非同時爆発解の解析
Papers (10)：
  • Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura, Yusuke Yamauchi. Growth properties for generalized Riesz potentials of functions satisfying Orlicz conditions. Mathematische Nachrichten. 2020. 293. 6. 1156-1173
  • Yoshihiro Mizuta, Yusuke Yamauchi. Spherical limits for Riesz potentials of functions in central generalized Orlicz-Morrey spaces on the unit ball. Complex Variables and Elliptic Equations. 2018. 64. 2. 283-299
  • Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura, Yusuke Yamauchi. Growth properties near the origin for generalized Riesz potentials. Journal of Mathematical Analysis and Applications. 2017. 454. 1. 285-302
  • Koyama, Tetsuya, Ôtani, Mitsuharu, Yamauchi, Yusuke. On a regularity theorem in rectangular domain. Libertas Mathematica. New Series. 2016. 36. 1. 1-18
  • Yusuke Yamauchi. Life Span of Positive Solutions for the Cauchy Problem for the Parabolic Equations. International Journal of Differential Equations. 2012. 2012. 1-16
ｍore...
MISC (2)：
  • Yamauchi,Yusuke. Life span of positive solutions for a semilinear heat equation with non-decaying initial data. 数理解析研究所講究録「非平衡非線形現象の解析 - 発展方程式の立場から」. 2012. 1792. 30-39
  • Yusuke Yamauchi. Existence and nonexistence of the global solution for a reaction-diffusion system. 数理解析研究所講究録「現象の数理モデルと発展方程式」. 2007. 1542. 58-76
Books (1)：
  • 1変数の微積分 : Webアシスト演習付
    培風館 2020 ISBN:9784563012328
Lectures and oral presentations  (2)：
  • Blow-up Solutions for Semilinear Parabolic Problems
    (Workshop “Prospects of Theory of Riemann Surfaces” 2025)
  • 反応拡散方程式の解の爆発時刻
    (HIT-Math 2025 ミニワークショップ 2025)
Education (3)：
  • 2004 - 2007 Hokkaido University
  • 2002 - 2004 Hokkaido University
  • 1998 - 2002 Hokkaido University Faculty of Science Department of mathematics
Professional career (1)：
  • 博士(理学) (北海道大学)
Work history (5)：
  • 2017/10 - 現在 Hiroshima Institute of Technology Faculty of Engineering, Department of Intelligent Mechanical Engineering
  • 2013/04 - 2017/09 Hiroshima Institute of Technology Faculty of Engineering, Department of Intelligent Mechanical Engineering
  • 2012/04 - 2013/03 Waseda University Organization for University Research Initiatives Junior Researcher
  • 2009/04 - 2012/03 Waseda University Faculty of Science and Engineering
  • 2008/10 - 2009/03 Waseda University Faculty of Science and Engineering
Committee career (1)：
  • 2024/03 - 2025/02 日本数学会 中国・四国支部 代議員
Association Membership(s) (1)：
Mathematical Society of Japan
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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