Small perturbation of a semilinear pseudo-parabolic equation

Yang Cao; Jingxue Yin

doi:10.3934/dcds.2016.36.631

Article Contents

2016, Volume 36, Issue 2: 631-642. Doi: 10.3934/dcds.2016.36.631

This issue Previous Article Time periodic solutions to Navier-Stokes-Korteweg system with friction Next Article Rotating periodic solutions of second order dissipative dynamical systems

Small perturbation of a semilinear pseudo-parabolic equation

Yang Cao^1, and
Jingxue Yin^2,

1.
School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024
2.
School of Math. Sci., South China Normal Univ., Guangzhou 510631

Received: May 2014

Revised: February 2015

Published: May 2017

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Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 35K70, 35A01; Secondary: 35B40.

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