On a nonlinear compactness lemma in \(L^{p}(0,T;B)\)
type: Item
instance of: scholarly article
title: On a nonlinear compactness lemma in \(L^{p}(0,T;B)\)
zbMATH Open document ID: 1032.46032
DOI: 10.1155/S0161171203106175
author: E. Maitre
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0107026
full work available at URL: https://eudml.org/doc/50611
review text: Summary: We consider a nonlinear counterpart of a compactness lemma of \textit{J. Simon} [Ann. Mat. Pura Appl. (4) 146, 65-96 (1987; Zbl 0629.46031)], which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. This paper was motivated by previous results of \textit{J. Simon} (loc. cit.), recently sharpened by \textit{H. Amann} [Glas. Mat., Ser. III 35, 161-177 (2000; Zbl 0997.46029)] in the linear setting, and by a nonlinear compactness argument of \textit{H. W. Alt} and \textit{S. Luckhaus} [Math. Z. 183, 311-341 (1983; Zbl 0497.35049)].
Mathematics Subject Classification ID: 46B50
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 46E40
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 1930060
zbMATH Keywords: compactness
MaRDI profile type: Publication
arXiv ID: math/0107026
Wikidata QID: Q124981872
OpenAlex ID: W2055077445
description: scientific article