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Large time behavior of solutions to degenerate parabolic equations

  • Shaohua Chen
  • Runzhang Xu
Article
  • 216 Downloads

Abstract

This paper deals with large time behavior of the Dirichlet problem to the degenerate parabolic equation \({u_t = g(u) \Delta u + f(u)}\) in a bounded domain \({\Omega \subset R^n}\) with smooth boundary \({\partial \Omega}\) . Under suitable conditions on f(u) and g(u), we show that all solutions will converge to the steady state exponentially.

Mathematics Subject Classification

35K55 35K65 35B40 

Keywords

Degenerate parabolic equations Steady state Exponential convergence 

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Department of Mathematics, Physics and GeologyCape Breton UniversitySydneyCanada
  2. 2.College of ScienceHarbin Engineering UniversityHarbinPeople’s Republic of China

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