Comptes Rendus
no. 4
Numerical Analysis
Smoothness characterization and stability for nonlinear multiscale representations
[Régularité et caractérisation des représentations multiéchelles non linéaires]

Présenté par : Philippe G. Ciarlet

Basarab Matei1
1 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 175, rue du Chevaleret, 75013 Paris, France
Comptes Rendus. Mathématique, Volume 338 (2004) no. 4, pp. 321-326.

Le but de cette Note est de présenter quelques résultats théoriques sur les représentations multiéchelles non linéaires. On caractérise la régularité des fonctions à travers les propriétés de décroissance des suites des coefficients multiéchelles et on étudie la stabilité de ces représentations. On introduit des outils généraux d'analyse de ces propriétés.

The goal of this Note is to present some theoretical results for the nonlinear multiscales representations concerning the smoothness characterization through the rate of decay of multiscales coefficients and stability. We introduce a general framework to analyze such properties.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2003.11.030
Basarab Matei 1

1 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 175, rue du Chevaleret, 75013 Paris, France 
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Basarab Matei. Smoothness characterization and stability for nonlinear multiscale representations. Comptes Rendus. Mathématique, Volume 338 (2004) no. 4, pp. 321-326. doi : 10.1016/j.crma.2003.11.030. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.11.030/

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