Blow-up phenomena for a class of metaparabolic equations with time dependent coefficient

被引：1

作者：

Di, Huafei ^{[1
,2
]}

Shang, Yadong ^{[1
,2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Guangzhou Univ, Guangdong Higher Educ Inst, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

AIMS MATHEMATICS | 2017年 / 2卷 / 04期

关键词：

metaparabolic equations; blow up; upper bound; lower bound; CAHN-HILLIARD EQUATION; NONLINEAR-WAVE EQUATIONS; EVOLUTION-EQUATIONS; GLOBAL EXISTENCE; DISSIPATIVE TERM; DAMPING TERM; DIFFUSION; ATTRACTOR; BEHAVIOR;

D O I：

10.3934/Math.2017.4.647

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the initial boundary value problem for a metaparabolic equations with time dependent coefficient. Under suitable conditions on initial data, a blow-up criterion which ensures that u cannot exist all time is given, and an upper bound for blow up time is derived. Moreover, we also obtain a lower bound for blow-up time if blow up does occur by means of a differential inequality technique.

引用

页码：647 / 657

页数：11

共 32 条

[1] ON THE PROBLEM OF DIFFUSION IN SOLIDS [J].