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论文类型：期刊论文

发表时间：2016-02-01

发表刊物：2013 Workshop on Variational Problems and Evolution Equations

收录刊物：SCIE、CPCI-S

卷号：36

期号：2,SI

页面范围：631-642

ISSN号：1078-0947

关键字：Pseudo-parabolic equation; small perturbation; large time behavior; blow-up; global existence

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.