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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Bibliographic Details
Main Authors: Aibèche, Aissa, Amrouche, Cherif, Bahouli, Bassem
Format: Article
Language:English
Published: Académie des sciences 2023-03-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.407/