4.7 Article

An optimal compactness theorem and application to elliptic-parabolic systems

Journal

APPLIED MATHEMATICS LETTERS
Volume 14, Issue 3, Pages 303-306

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0893-9659(00)00153-1

Keywords

compactness; elliptic-parabolic systems

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We give a new optimal compactness criterion which insures that time dependent bounded sequences in suitable Hilbert spaces contain convergent subsequences. Our proof is related to PDE techniques. We then give an abstract application of the result. (C) 2001 Elsevier Science Ltd. All rights reserved.

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