Campanato-type boundary estimates for Rothe's scheme to parabolic partial differential systems with constant coefficients
type: Item
instance of: scholarly article
title: Campanato-type boundary estimates for Rothe's scheme to parabolic partial differential systems with constant coefficients
zbMATH Open document ID: 1156.35337
author: Nobuyuki Kato
author: N. Kikuchi
published in: Discrete and Continuous Dynamical Systems
publication date: 2008-10-23T00:00:00Z
review text: The authors formulate Campanato-type boundary estimates for solutions of the Rothe approximate scheme to parabolic partial differential systems with constant coefficients. It is an interesting result because, relying on the blow up procedure, Campanato estimates for Rothe's scheme to linear parabolic systems might be an essential tool in the case of nonlinear parabolic partial differential equations. We point out that the estimates found by the authors hold independently of the approximate systems. We recall that the interior estimates were proved by the same authors in a previous paper.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 65N99
zbMATH DE Number: 5356314
zbMATH Keywords: Campanato estimates
zbMATH Keywords: Rothe's scheme
zbMATH Keywords: parabolic partial differential systems
zbMATH Keywords: constant coefficients
MaRDI profile type: Publication
full work available at URL: dcds.2007.19.737
OpenAlex ID: W2019254430
DOI: 10.3934/DCDS.2007.19.737
description: scientific article; zbMATH DE number 5356314