Asymptotic behavior for retarded parabolic equations with superlinear perturbations
type: Item
instance of: scholarly article
title: Asymptotic behavior for retarded parabolic equations with superlinear perturbations
zbMATH Open document ID: 1205.35033
author: Tran Dinh Ke
author: Ngai-Ching Wong
published in: Journal of Optimization Theory and Applications
publication date: 2010-10-27T00:00:00Z
review text: A class of nonlinear retarded parabolic equations on a bounded domain with a general linear part given by a positive self-adjoint operator with a compact resolvent and with a time dependent forcing is considered. The nonlinear dependence is allowed to have arbitrary polynomial growth rate. Existence and uniqueness for this class of equations is proved. The asymptotic behavior in time is characterized by proving, under some restrictions on the forcing term, the existence of a pullback attractor in the appropriate functional space.
reviewed by: Guy Katriel
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 5806830
zbMATH Keywords: pullback attractors
zbMATH Keywords: time dependent forcing
MaRDI profile type: Publication
full work available at URL: s10957-010-9665-6
OpenAlex ID: W2104828421
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DOI: 10.1007/S10957-010-9665-6
description: scientific article; zbMATH DE number 5806830