Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
type: Item
instance of: scholarly article
title: Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
zbMATH Open document ID: 1122.35043
published in: Advances in Differential Equations
publication date: 2006-09-22T00:00:00Z
review text: The paper is devoted to the proof of higher integrability for the gradients of weak solutions of parabolic equations of \(p\)-Laplacian type with variable exponent of nonlinearity. The authors prove that the weak solution is bounded and establish Meyer's type estimates.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 5056178
zbMATH Keywords: higher integrability of gradients
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: weak solutions
zbMATH Keywords: Meyer's type estimate
author: Stanislav Antontsev
author: V. V. Zhikov
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
description: scientific article