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

被引：12

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

页码：118 / 125

页数：8

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