Upper semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary

摘要

In this paper we analyze the asymptotic behavior of the pullback attractors of a non-autonomous damped wave equation when some reaction terms are concentrated in a neighborhood of the boundary and this neighborhood shrinks to boundary as a parameter epsilon goes to zero. We prove a result of regularity of the pullback attractors and that this family of attractors is upper semicontinuous at epsilon = 0. (C) 2017 Elsevier Inc. All rights reserved.