Local estimates for parabolic difference operators
type: Item
instance of: scholarly article
title: Local estimates for parabolic difference operators
zbMATH Open document ID: 0846.39007
author: Hung-Ju Kuo
author: Neil S. Trudinger
published in: Journal of Differential Equations
publication date: 1996-09-23T00:00:00Z
review text: The authors prove a local maximum principle and a weak Harnack inequality for parabolic difference inequalities. As applications, they derive discrete analogues of the Hölder and Harnack estimates of \textit{N. V. Krylov} and \textit{M. V. Safonov} [Izv. Akad. Nauk SSSR, Ser. Mat. 44, 161-175 (1980; Zbl 0439.35023)] and results pertaining to the stability of discrete schemes for nonlinear parabolic problems. For related results see the papers of \textit{M. Gruber} [Math. Z. 185, 23-43 (1984; Zbl 0517.35042)] and the authors [SIAM J. Numer. Anal. 29, No. 1, 123-135 (1992; Zbl 0745.65058)].
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 823555
zbMATH Keywords: finite difference methods
zbMATH Keywords: local maximum principle
zbMATH Keywords: weak Harnack inequality
zbMATH Keywords: parabolic difference inequalities
zbMATH Keywords: stability
zbMATH Keywords: nonlinear parabolic problems
MaRDI profile type: Publication
full work available at URL: jdeq.1995.1153
OpenAlex ID: W2062047199
DOI: 10.1006/JDEQ.1995.1153
description: scientific article; zbMATH DE number 823555