Blow-up and lifespan of solutions to a nonlocal parabolic equation at arbitrary initial energy level

被引：10
|
作者：
Zhou, Jun [1 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 78卷
关键词：
Nonlocal parabolic equation; Arbitrary initial energy level; Blow-up; Lifespan;
D O I：
10.1016/j.aml.2017.11.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a nonlocal parabolic equation. By exploiting the boundary condition and the variational structure of the equation, we prove finite time blow-up of the solution for initial data at arbitrary energy level. We also obtain the lifespan of the blow-up solution. The results generalize the former studies on this equation. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：118 / 125
页数：8
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