Bounds for the blowup time of the solutions to quasi-linear parabolic problems

被引：36

作者：

Bao, Aiguo ^{[1
]}

Song, Xianfa ^{[1
]}

机构：

[1] Tianjin Univ, Sch Sci, Dept Math, Tianjin 300072, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2014年 / 65卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quasi-linear parabolic equation; Initial-boundary value problem; Bounds for blowup time; UP TIME; EQUATION;

D O I：

10.1007/s00033-013-0325-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the lower and the upper bounds of the blowup time of the solutions to quasi-linear parabolic problems subject to Dirichlet(or Neumann) boundary condition. Our results are suitable for the problems with any smooth bounded domain and . In some special cases, we can even get the exact values of blowup time.

引用

页码：115 / 123

页数：9

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