Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$
We give, first, two new applications related to the range characterization of the range of trace operator in $H^2(\Omega )$. After this, we characterize the range of trace operator in the Sobolev spaces $ W^{3,p}(\Omega )$ when $\Omega $ is a connected bounded domain $\mathbb{R}^2$ with Lipschitz-co...
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| Format: | Article |
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Académie des sciences
2023-03-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.407/ |
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| author | Aibèche, Aissa Amrouche, Cherif Bahouli, Bassem |
| author_facet | Aibèche, Aissa Amrouche, Cherif Bahouli, Bassem |
| author_sort | Aibèche, Aissa |
| collection | DOAJ |
| description | We give, first, two new applications related to the range characterization of the range of trace operator in $H^2(\Omega )$. After this, we characterize the range of trace operator in the Sobolev spaces $ W^{3,p}(\Omega )$ when $\Omega $ is a connected bounded domain $\mathbb{R}^2$ with Lipschitz-continuous boundary. |
| format | Article |
| id | doaj-art-0db3ba5224e7424e94af052bd6e7355e |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-0db3ba5224e7424e94af052bd6e7355e2025-02-07T11:07:00ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-03-01361G358759710.5802/crmath.40710.5802/crmath.407Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$Aibèche, Aissa0Amrouche, Cherif1https://orcid.org/0000-0002-9175-3555Bahouli, Bassem2Laboratoire de Mathématiques Appliquées, Université Ferhat Abbas, Sétif 1, Campus El Bez, 19137 Sétif, Algeria.Laboratoire de Mathématiques et leurs Applications, Université de Pau et des Pays de l’Adour, Avenue de l’Université, 64000 Pau, France.Laboratoire de Mathématiques et leurs Applications, Université de Pau et des Pays de l’Adour, Avenue de l’Université, 64000 Pau, France.; Laboratoire des Équations aux Dérivées Partielles Non Linéaires et Histoire des Mathématiques (EDPNL-HM), ENS Kouba, 16309 Alger, Algeria.We give, first, two new applications related to the range characterization of the range of trace operator in $H^2(\Omega )$. After this, we characterize the range of trace operator in the Sobolev spaces $ W^{3,p}(\Omega )$ when $\Omega $ is a connected bounded domain $\mathbb{R}^2$ with Lipschitz-continuous boundary.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.407/ |
| spellingShingle | Aibèche, Aissa Amrouche, Cherif Bahouli, Bassem Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$ Comptes Rendus. Mathématique |
| title | Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$ |
| title_full | Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$ |
| title_fullStr | Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$ |
| title_full_unstemmed | Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$ |
| title_short | Trace Operator’s Range Characterization for Sobolev Spaces on Lipschitz Domains of $\protect \mathbb{R}^2$ |
| title_sort | trace operator s range characterization for sobolev spaces on lipschitz domains of protect mathbb r 2 |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.407/ |
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