Blow up of the solutions of the nonlinear parabolic equation

被引：0

作者：

Georgiev, Svetlin G. ^{[1
]}

机构：

[1] Univ Sofia, Dept Differential Equat, Sofia 1164, Bulgaria

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 6卷 / 01期

关键词：

Blow up; parabolic equation; Cauchy problem; uniformly continuous;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the Cauchy problem for nonlinear parabolic equation is investigated. We prove that the Cauchy problem has one nontrivial solution u(t, r) in the form u(t, r) = v(t)omega(r) is an element of C([0, 1)L-2([r(0), infinity))) for which lim(t -> 1) ||u||(L2([r0), (infinity)))) = infinity, where r = |x|, r(0) >= 1 is arbitrary chosen and fixed. Also, we prove that the solution map is not uniformly continuous.

引用

页码：1 / 14

页数：14

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