Blow-up of solutions to a semilinear heat equation with a viscoelastic term and a nonlinear boundary flux

被引：6

作者：

Han, Yuzhu ^{[1
]}

Gao, Wenjie ^{[1
]}

Li, Haixia ^{[2
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

[2] Changchun Normal Univ, Sch Math, Changchun 130032, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2015年 / 353卷 / 09期

关键词：

D O I：

10.1016/j.crma.2015.07.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study a semilinear heat equation u(t) - Delta u + integral(t)(0) g(t - s)Delta u(x, s) ds = 0 with a viscoelastic term and a nonlinear flux on the boundary. By defining a modified energy functional and using a concavity argument, a blow-up result for solutions with negative initial energy is proved. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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页码：825 / 830

页数：6

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