Bull. Korean Math. Soc. 2018; 55(1): 319-330
Online first article September 8, 2017 Printed January 31, 2018
https://doi.org/10.4134/BKMS.b170003
Copyright © The Korean Mathematical Society.
Pengyu Chen, Yibo Kong, Yongxiang Li
Northwest Normal University, Northwest Normal University, Northwest Normal University
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.
Keywords: evolution equations, nonlocal initial condition, analytic semigroup, asymptotic stability, strong solution
MSC numbers: Primary 35D35; Secondary 47D06, 47J35
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