An optimal compactness theorem and application to elliptic-parabolic systems

Authors
Rakotoson, JM Temam, R
Citation
Jm. Rakotoson et R. Temam, An optimal compactness theorem and application to elliptic-parabolic systems, APPL MATH L, 14(3), 2001, pp. 303-306
Citations number
5
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
3
Year of publication
2001
Pages
303 - 306
Database
ISI
SICI code
0893-9659(200104)14:3<303:AOCTAA>2.0.ZU;2-8
Abstract
We give a new optimal compactness criterion which insures that time depende nt bounded sequences in suitable Hilbert spaces contain convergent subseque nces. Our proof is related to PDE techniques. We then give an abstract appl ication of the result. (C) 2001 Elsevier Science Ltd. All rights reserved.