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

被引：7
|
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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