Remarks on a lemma by Jacques-Louis Lions

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)691-695
Journal / PublicationComptes Rendus Mathematique
Volume352
Issue number9
Online published14 Aug 2014
Publication statusPublished - Sept 2014

Abstract

Let Ω be a bounded and connected open subset of RN with a Lipschitz-continuous boundary ∂Ω, the set Ω being locally on one side of ∂Ω. It is shown in this Note that a fundamental characterization of the space L2(Ω) due to Jacques-Louis Lions is in effect equivalent to a variety of other properties. One of the keys for establishing these equivalences is a specific "approximation lemma", itself one of these equivalent properties.

Citation Format(s)

Remarks on a lemma by Jacques-Louis Lions. / Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel.
In: Comptes Rendus Mathematique, Vol. 352, No. 9, 09.2014, p. 691-695.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review