SPATIAL DECAY AND BLOW-UP FOR SOLUTIONS TO SOME PARABOLIC EQUATIONS IN THE HALF CYLINDER

被引：0

作者：

Liu, Yan ^{[1
]}

Lin, Changhao ^{[2
]}

机构：

[1] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2010年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Spatial blow-up; Decay estimates; Nonlinear parabolic equation; Quasi-linear parabolic equation; Initial-boundary conditions; ASYMPTOTIC-BEHAVIOR; BOUNDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the spatial behaviors of a nonlinear and a quasi-linear parabolic equations with nonlinear boundary conditions are studied on a half cylinder. Under suitable conditions, we get a various, but closely related forms of Phragmen-Lindelof principle, and we have proved the smooth solution either fails to exist globally, or when it does exist globally, it must tend asymptotically to zero with increasing long distance along the cylinder from the base.

引用

页码：145 / 155

页数：11

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