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ASYMPTOTIC STABILITY OF STRONG SOLUTIONS FOR EVOLUTION EQUATIONS WITH NONLOCAL INITIAL CONDITIONS

  • Chen, Pengyu (Department of Mathematics Northwest Normal University) ;
  • Kong, Yibo (Department of Mathematics Northwest Normal University) ;
  • Li, Yongxiang (Department of Mathematics Northwest Normal University)
  • Received : 2017.01.02
  • Accepted : 2017.03.07
  • Published : 2018.01.31

Abstract

This paper is concerned with the global asymptotic stability of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions on infinite interval. The discussion is based on analytic semigroups theory and the gradually regularization method. The results obtained in this paper improve and extend some related conclusions on this topic.

Acknowledgement

Supported by : NNSFs of China, National Science Foundation

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