Existence and localization of weak solutions of nonlinear parabolic equations with variable exponent of nonlinearity
type: Item
instance of: scholarly article
title: Existence and localization of weak solutions of nonlinear parabolic equations with variable exponent of nonlinearity
zbMATH Open document ID: 1272.35135
author: Bin Guo
author: Wenjie Gao
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2013-06-12T00:00:00Z
review text: This paper deals with a class of nonlinear parabolic equations with Neumann boundary condition. The main feature consists in the presence of the \(p(x,t)\)-Laplace operator, which implies several technical difficulties. By means of the Galerkin approximation technique, the authors establish the existence of weak solutions. Additional qualitative properties of these solutions (extinction in finite time, energy estimates) are also found in the present paper.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 6174383
zbMATH Keywords: \(p(x,t)\)-Laplacian operator
zbMATH Keywords: Neumann boundary condition
zbMATH Keywords: Galerkin approximation
zbMATH Keywords: extinction in finite time
zbMATH Keywords: energy estimates
MaRDI profile type: Publication
full work available at URL: s10231-011-0196-z
OpenAlex ID: W2029399103
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DOI: 10.1007/S10231-011-0196-Z
description: scientific article; zbMATH DE number 6174383