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http://dx.doi.org/10.4134/BKMS.b170003

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 319-330 More about this Journal
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;
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