Comptes Rendus
Partial Differential Equations
Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of 2
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 587-597.

We give, first, two new applications related to the range characterization of the range of trace operator in H 2 (Ω). After this, we characterize the range of trace operator in the Sobolev spaces W 3,p (Ω) when Ω is a connected bounded domain 2 with Lipschitz-continuous boundary.

On donne, d’abord, deux nouvelles applications relatives à la caractérisation de l’image de l’opérateur trace dans H 2 (Ω). Après cela, on caractérise l’image de l’opérateur trace dans les espaces de Sobolev W 3,p (Ω), Ω étant un domaine borné, connexe de 2 de frontière lipschitzienne.

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Published online:
DOI: 10.5802/crmath.407

Aissa Aibèche 1; Cherif Amrouche 2; Bassem Bahouli 2, 3

1 Laboratoire de Mathématiques Appliquées, Université Ferhat Abbas, Sétif 1, Campus El Bez, 19137 Sétif, Algeria.
2 Laboratoire de Mathématiques et leurs Applications, Université de Pau et des Pays de l’Adour, Avenue de l’Université, 64000 Pau, France.
3 Laboratoire des Équations aux Dérivées Partielles Non Linéaires et Histoire des Mathématiques (EDPNL-HM), ENS Kouba, 16309 Alger, Algeria.
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     author = {Aissa Aib\`eche and Cherif Amrouche and Bassem Bahouli},
     title = {Trace {Operator{\textquoteright}s} {Range} {Characterization} for {Sobolev} {Spaces} on {Lipschitz} {Domains} of $\protect \mathbb{R}^2$},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {587--597},
     publisher = {Acad\'emie des sciences, Paris},
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     year = {2023},
     doi = {10.5802/crmath.407},
     language = {en},
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Aissa Aibèche; Cherif Amrouche; Bassem Bahouli. Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 587-597. doi : 10.5802/crmath.407. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.407/

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