Global higher integrability for parabolic quasiminimizers in metric measure spaces
type: Item
instance of: scholarly article
title: Global higher integrability for parabolic quasiminimizers in metric measure spaces
zbMATH Open document ID: 1319.49057
author: Mathias Masson
author: Mikko Parviainen
published in: Journal d'Analyse Mathématique
publication date: 2015-06-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1302.5962
Mathematics Subject Classification ID: 49N60
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 30L99
zbMATH DE Number: 6454342
zbMATH Keywords: parabolic quasiminimizers
zbMATH Keywords: higher integrability
zbMATH Keywords: metric measure spaces
zbMATH Keywords: heat equation
Wikidata QID: Q110233648
MaRDI profile type: Publication
OpenAlex ID: W2122849702
arXiv ID: 1302.5962
cites work: Gradient estimates for a class of parabolic systems
cites work: Q4853574
cites work: Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces
cites work: Nonlinear potential theory on metric spaces
cites work: Boundary continuity for quasiminimizers on metric spaces
cites work: Fat sets and pointwise boundary estimates for \(p\)-harmonic functions in metric spaces
cites work: Q3517456
cites work: Partial regularity and singular sets of solutions of higher order parabolic systems
cites work: Degenerate problems with irregular obstacles
cites work: Self-improving property of nonlinear higher order parabolic systems near the boundary
cites work: Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems
cites work: Gradient estimates for elliptic systems with measurable coefficients in nonsmooth domains
cites work: Differentiability of Lipschitz functions on metric measure spaces
cites work: Q3252874
cites work: Q5537959
cites work: Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
cites work: Reverse Hölder inequalities and higher integrability for subcritical parabolic equations
cites work: The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
cites work: Nonlinear elliptic systems with quadratic growth
cites work: On the regularity of the minima of variational integrals
cites work: Quasi-minima
cites work: Q4196779
cites work: On the partial regularity of weak solutions on nonlinear parabolic systems
cites work: Q5536910
cites work: An $L^p$-Estimate for the gradient of extremals.
cites work: Q4847438
cites work: Sobolev met Poincaré
cites work: Lectures on analysis on metric spaces
cites work: Quasiconformal maps in metric spaces with controlled geometry
cites work: The Poincaré inequality is an open ended condition
cites work: Global integrability of the gradients of solutions to partial differential equations
cites work: Higher integrability for parabolic systems of \(p\)-Laplacian type
cites work: Harnack's inequality for parabolic De Giorgi classes in metric spaces
cites work: Stability for degenerate parabolic equations
cites work: Regularity of quasi-minimizers on metric spaces
cites work: Q4238869
cites work: Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces
cites work: Uniformly Fat Sets
cites work: On the Harnack inequality for parabolic minimizers in metric measure spaces
cites work: Local higher integrability for parabolic quasiminimizers in metric spaces
cites work: Hölder regularity for parabolic De Giorgi classes in metric measure spaces
cites work: Q5334555
cites work: \(L^q\)-estimates of gradients for evolutional \(p\)-Laplacian systems
cites work: Q5563647
cites work: A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
cites work: On Harnack's theorem for elliptic differential equations
cites work: Continuity of Solutions of Parabolic and Elliptic Equations
cites work: Global higher integrability for parabolic quasiminimizers in nonsmooth domains
cites work: Global gradient estimates for degenerate parabolic equations in nonsmooth domains
cites work: Reverse Hölder inequalities for singular parabolic equations near the boundary
cites work: Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
cites work: Harmonic functions on metric spaces
cites work: Hölder continuity of solutions of elliptic systems
cites work: Parabolic Q-minima and minimal solutions to variational flow
DOI: 10.1007/S11854-015-0019-Z
description: scientific article