BLOW-UP OF SOLUTIONS FOR A SYSTEM OF NONLINEAR PARABOLIC EQUATIONS

被引：0

作者：

Wu, Shun-Tang ^{[1
]}

机构：

[1] Natl Taipei Univ Technol, Gen Educ Ctr, Taipei 106, Taiwan

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Blow-up; lower bound of blow-up time; parabolic problem; SEMILINEAR HEAT-EQUATIONS; NONEXISTENCE; EXISTENCE; THEOREMS; BOUNDS; TIME;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial boundary value problem for a system of parabolic equations in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity and certain initial data, the lower bound for the blow-up time is determined if blow-up does occur. In addition, a criterion for blow-up to occur and conditions which ensure that blow-up does not occur are established.

引用

页数：9

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