Resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces
type: Item
instance of: scholarly article
title: Resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces
zbMATH Open document ID: 1071.65127
DOI: 10.1155/S0161171204303200
author: Nikolai Yu. Bakaev
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/51660
review text: Some new resolvent estimates of elliptic differential and finite-element operators are presented. These estimates are useful for stability and error analysis of semidiscrete and fully discrete approximations to parabolic partial differential problems with rough and distribution-valued data. The author presents resolvent estimates in pairs of functions spaces, for which the first space in a pair endowed with stronger norm. The estimates in Lebesgue-Lebesgue, Hölder-Lebesgue and Hölder-Hölder pairs of norms are considered.
reviewed by: Karel Najzar
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K90
zbMATH DE Number: 2168608
zbMATH Keywords: resolvent estimates
zbMATH Keywords: stability
zbMATH Keywords: parabolic partial differential operators
zbMATH Keywords: finite-element operators
zbMATH Keywords: pairs of function spaces
zbMATH Keywords: error analysis
zbMATH Keywords: semidiscretization
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2168608