Remarks on a lemma by Jacques-Louis Lions
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Pages (from-to) | 691-695 |
Journal / Publication | Comptes Rendus Mathematique |
Volume | 352 |
Issue number | 9 |
Online published | 14 Aug 2014 |
Publication status | Published - Sept 2014 |
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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.
In: Comptes Rendus Mathematique, Vol. 352, No. 9, 09.2014, p. 691-695.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review