About: On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2020/volume_26/issue_2020/w
Subject	Functions of bounded variation, generalizations Absolutely continuous functions, functions of bounded variation Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems Variational problems in a geometric measure-theoretic setting generalised bounded variation boundary conditions free discontinuity problems generalised bounded deformation jump set rectifiable Trace continuity
Title	On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)
Date	2020-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2020/volume_26/issue_2020/cocv180126/m/print http://hub.abes.fr/edp/periodical/cocv/2020/volume_26/issue_2020/cocv180126/m/web
related by	http://hub.abes.fr/edp/periodical/cocv/2020/volume_26/issue_2020/cocv180126/authorship/1
Author	Tasso, Emanuele Tasso, Emanuele
Abstract	In this paper, we present a new result of continuity for the trace operator acting on functions that might jump on a prescribed ( n − 1)-dimensional set Γ, with the only hypothesis of being rectifiable and of finite measure. We also show an application of our result in relation to the variational model of elasticity with cracks, when the associated minimum problems are coupled with Dirichlet and Neumann boundary conditions.
article type	research-article
publisher identifier	cocv180126
Date Copyrighted	2020-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI 2020
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2020/volume_26/issue_2020/cocv180126/w/record

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