Optimal regularity estimates for parabolic \(p\)-harmonic equations
type: Item
instance of: scholarly article
title: Optimal regularity estimates for parabolic \(p\)-harmonic equations
zbMATH Open document ID: 1188.35110
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-02-19T00:00:00Z
review text: The equation \[ u_t-\nabla\cdot(|\langle A\nabla u,\nabla u\rangle|^{{p-2\over 2}} A\nabla u)= \nabla\cdot(|\vec f|^{p-2}\vec f) \] is considered for \(p> {2n\over n+2}\), when \(A= A(x_1,\dots, x_n,t)\) is a symmetric matrix of size \(n\times n\) satisfying certain conditions. Regularity estimates are given in an Orlicz space, depending on \(\vec f\). The coefficients of the matrix \(A\) have a very small ``BMO-norm''.
reviewed by: Peter Lindqvist
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 5673242
zbMATH Keywords: evolutionary \(p\)-Laplace equation
zbMATH Keywords: summability of the gradient
zbMATH Keywords: Orlicz space
author: Fengping Yao
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.10.039
OpenAlex ID: W2094428992
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DOI: 10.1016/J.JMAA.2009.10.039
description: scientific article; zbMATH DE number 5673242