Blow-up of solutions of a semilinear heat equation with a visco-elastic term

被引：0

作者：

Messaoudi, SA ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

来源：

Nonlinear Elliptic and Parabolic Problems: A SPECIAL TRIBUTE TO THE WORK OF HERBERT AMANN, MICHEL CHIPOT AND JOACHIM ESCHER | 2005年 / 64卷

关键词：

blow-up; finite time; viscoelastic; relaxation function; vanishing energy;

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 work we consider an initial boundary value problem related to the equation mu(t) - Delta u + integral(t)(0) g(t - s)Delta u(x, s)ds = vertical bar u vertical bar(p-2)u and prove, under suitable conditions on g and p, a blow-up result for solutions with negative or vanishing initial energy. This result improves an earlier one by the author.

引用

页码：351 / 356

页数：6

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