Existence and non-existence of global solutions to initial boundary value problems for nonlinear evolution equations with strong dissipation

被引：1

作者：

Kubo, Akisato ^{[1
]}

Loheac, Jean-Pierre ^{[2
,3
]}

机构：

[1] Fujita Hlth Univ, Sch Hlth Sci, Dept Math, Aichi 4701192, Japan

[2] Univ Lyon, Ecole Cent Lyon, CNRS, Inst Camille Jordan,Dept Math Informat,UMR 5208, F-69134 Ecully, France

[3] Independent Moscow Univ, Lab JV Poncelet, CNRS, UMI 2615, Moscow 119002, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

基金：

日本学术振兴会;

关键词：

Evolution equation; Strong dissipation; Blow-up; Global existence; STABILITY; UNIQUENESS;

D O I：

10.1016/j.na.2009.06.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose in this paper is to investigate existence and non-existence of global solutions of the initial Dirichlet boundary value problem for evolution equations with strong dissipation. Many authors studied classes consisting of such types of equations for which initial boundary value problems possess global solutions. For this purpose we consider a related problem and seek global solutions and blow-up solutions of it depending on whether it belongs to such classes or not. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E2797 / E2806

页数：10

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