A Pseudo-parabolic Type Equation with Weakly Nonlinear Sources

Authors

  • Yinghua Li School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Yang Cao School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

DOI:

https://doi.org/10.4208/jpde.v26.n4.4

Keywords:

Pseudo-parabolic equation;existence;asymptotic behavior

Abstract

In this paper, we prove the existence of nonnegative solutions to the initial boundary value problems for the pseudo-parabolic type equation with weakly nonlinear sources. Further, we discuss the asymptotic behavior of the solutions as the viscous coefficient k tends to zero.

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Published

2020-05-12

Issue

Vol. 26 No. 4 (2013)

Section

Articles