SMALL PERTURBATION OF A SEMILINEAR PSEUDO-PARABOLIC EQUATION

被引：10
|
作者：
Cao, Yang [1 ]
Yin, Jingxue [2 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 02期
基金：
高等学校博士学科点专项科研基金;
关键词：
Pseudo-parabolic equation; small perturbation; large time behavior; blow-up; global existence; CRITICAL EXPONENTS; GLOBAL EXISTENCE; BLOW-UP; BEHAVIOR; SYSTEMS; MODEL;
D O I：
10.3934/dcds.2016.36.631
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with large time behavior of solutions for the Cauchy problem of a semilinear pseudo-parabolic equation with small perturbation. It is revealed that small perturbation may develop large variation of solutions with the evolution of time, which is similar to that for the standard heat equation with nonlinear sources.
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页码：631 / 642
页数：12
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