Global existence and uniform energy decay rates for the semilinear parabolic equation with a memory term and mixed boundary condition
type: Item
instance of: scholarly article
title: Global existence and uniform energy decay rates for the semilinear parabolic equation with a memory term and mixed boundary condition
zbMATH Open document ID: 1293.35145
DOI: 10.1155/2013/532935
author: Zhongbo Fang
author: Liru Qiu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: This work is concerned with a mixed boundary value problem for the semilinear parabolic equation with a memory term and generalized Lewis functions which depends on both spacial variable and time. Under suitable conditions, we prove the existence and uniqueness of global solutions and the energy functional decaying exponentially or polynomially to zero as the time goes to infinity by introducing brief Lyapunov function and precise priori estimates.
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 6306981
zbMATH Keywords: generalized Lewis functions
zbMATH Keywords: Lyapunov function
Wikidata QID: Q58917055
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/532935
OpenAlex ID: W2014233904
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description: scientific article; zbMATH DE number 6306981