On a nonlinear compactness lemma in Lp(0,T;B)

We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a...

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Main Author: Emmanuel Maitre
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203106175
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spelling doaj-045f2866c03b4d0e875739e32b5ca6382020-11-24T23:49:53ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003271725173010.1155/S0161171203106175On a nonlinear compactness lemma in Lp(0,T;B)Emmanuel Maitre0Laboratoire de Modélisation et Calcul, Université Joseph Fourier, BP 53, Grenoble Cedex 9 38041, FranceWe consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus (1983).http://dx.doi.org/10.1155/S0161171203106175
collection DOAJ
language English
format Article
sources DOAJ
author Emmanuel Maitre
spellingShingle Emmanuel Maitre
On a nonlinear compactness lemma in Lp(0,T;B)
International Journal of Mathematics and Mathematical Sciences
author_facet Emmanuel Maitre
author_sort Emmanuel Maitre
title On a nonlinear compactness lemma in Lp(0,T;B)
title_short On a nonlinear compactness lemma in Lp(0,T;B)
title_full On a nonlinear compactness lemma in Lp(0,T;B)
title_fullStr On a nonlinear compactness lemma in Lp(0,T;B)
title_full_unstemmed On a nonlinear compactness lemma in Lp(0,T;B)
title_sort on a nonlinear compactness lemma in lp(0,t;b)
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type. This paper was motivated by previous results of Simon (1987), recently sharpened by Amann (2000), in the linear setting, and by a nonlinear compactness argument of Alt and Luckhaus (1983).
url http://dx.doi.org/10.1155/S0161171203106175
work_keys_str_mv AT emmanuelmaitre onanonlinearcompactnesslemmainlp0tb
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