Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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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.

Asymptotic stability of strong solutions for evolution equations with nonlocal initial conditions

Pengyu Chen, Yibo Kong, Yongxiang Li

Northwest Normal University, Northwest Normal University, Northwest Normal University

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.

Keywords: evolution equations, nonlocal initial condition, analytic semigroup, asymptotic stability, strong solution

MSC numbers: Primary 35D35; Secondary 47D06, 47J35