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Research for Critical Asymptotic Structure of Nonlinear Evolution Equations

Research for Critical Asymptotic Structure of Nonlinear Evolution Equations
非线性演化方程的临界渐近结构研究
批准号:
20244009
负责人:
OGAWA Takayoshi
金额:
$30.62万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (A)
财政年份:
2008
资助国家:
日本
项目状态:
已结题
起止时间:
2008-04-08 至 2013-03-31

项目摘要

项目成果

OGAWA Takayoshi的其他基金

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中文摘要
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英文摘要
The main reseacher T. Ogawa researched several nonlinear partial differential equations with critical structure and find various criticality in each problems. He studied the following topics with colabolators. Two dimensional drift-diffusion system in the critical Besov spaces and established maximal regularity for the heat equation in non-reflexivie Banach spaces. Higher order expansion of the solution for the drift-diffusion system in higher space dimensions, the global existence for the nonlinear damped wave system, the critical Sobolev inequality with logarithmic type and generalization to abstract Besov spaces, WKB approximation for nonlinear Schrodinger equations with Poisson equations, the scaling critical solvabilityfor quadratic nonlinear Schrodinger equation and critical well-posedeness in lower space dimensions.
期刊论文(167)
专著(0)
科研奖励(0)
会议论文
Heat equation with a singular potential on the boundary and the Kato inequality
边界上具有奇异势的热方程和加藤不等式
DOI: --
发表时间: 2012
期刊: Journal d'Analyse Mathematique
影响因子: --
作者: [Kazuhiro Ishige, Michinori Ishiwata]
通讯作者: Michinori Ishiwata
DOI: 10.3934/krm.2013.6.969
发表时间: 2013-12
期刊: Kinetic and Related Models
影响因子: 1
作者: [Masakazu Kato;Y. Wang;S. Kawashima]
通讯作者: Masakazu Kato;Y. Wang;S. Kawashima
L^2-boundedness for the 2D exterior problems
二维外部问题的 L^2 有界性
DOI: --
发表时间: 2013
期刊: RIMS Kokyuroku Bessatsu
影响因子: --
作者: [Takayuki Kobayashi ; Masashi Misawa]
通讯作者: Takayuki Kobayashi ; Masashi Misawa
A Holder estimate for nonlinear parabolic systems
非线性抛物线系统的 Holder 估计
DOI: --
发表时间: 2013
期刊: J. Differential Equations
影响因子: --
作者: [Dawson, J. R., et al, 小林盾, T. Shoji, Masashi Misawa]
通讯作者: Masashi Misawa
123
    Correlation research for non-local interaction system and the mass transport conservation law
    • 批准号:
      23654059
    • 项目类别:
      Grant-in-Aid for Challenging Exploratory Research
    • 资助金额:
      $2.16万
    • 财政年份:
      2011
    • 负责人:
      OGAWA Takayoshi
    • 依托单位:
    Reseach for the singularities and regularity of solutions to crtical nonlinear partial differential equations
    Asymptotic Analysis for Singularities of Solutions to Nonlinear Partial Differential Equations
    • 批准号:
      11440057
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $8.9万
    • 财政年份:
      1999
    • 负责人:
      OGAWA Takayoshi
    • 依托单位:
    Research for the Lp theory of the solutions to nonlinear partial differential equations