Hölder gradient estimates on \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients
type: Item
instance of: scholarly article
title: Hölder gradient estimates on \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients
zbMATH Open document ID: 1491.35085
author: Shota Tateyama
published in: SN Partial Differential Equations and Applications
publication date: 2022-01-03T00:00:00Z
review text: The author proves interior \(C^{1, \alpha}\) regularity for \(L^p\)-viscosity solutions of a class of fully nonlinear uniformly parabolic equations with coefficients in VMO class under appropriate structure assumptions on the operator and the condition that \(p>n+2\).
reviewed by: Qing Liu
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 7451779
zbMATH Keywords: fully nonlinear parabolic equations
zbMATH Keywords: regularity of solutions
zbMATH Keywords: viscosity solutions
zbMATH Keywords: vanishing mean oscillation
MaRDI profile type: Publication
full work available at URL: s42985-021-00133-4
OpenAlex ID: W3213219503
Wikidata QID: Q115369755
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DOI: 10.1007/S42985-021-00133-4
description: scientific article; zbMATH DE number 7451779