Traces of non regular vector fields on Lipschitz domains - Archive ouverte HAL Accéder directement au contenu
Proceedings/Recueil Des Communications Année : 2015

Traces of non regular vector fields on Lipschitz domains

Résumé

In this note, for Lipschitz domains Ω ⊂ Rn, I propose to show the boundedness of the trace operator for functions from H1(Ω) to L2(∂Ω) as well as for square integrable vector fields in L2 with square integrable divergence and curl satisfying a half boundary condition. Such results already exist in the literature. The originality of this work lies on the control of the constants involved. The proofs are based on integration by parts formulas applied to the right expressions.
Fichier principal
Vignette du fichier
traces.pdf (80.79 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00943142 , version 1 (20-02-2014)

Identifiants

  • HAL Id : hal-00943142 , version 1

Citer

Sylvie Monniaux. Traces of non regular vector fields on Lipschitz domains. Operator semigroups meet complex analysis, harmonic analysis and mathematical physics, Jun 2013, Herrnhut, Germany. 250, Birkhaüser, pp.343-351, 2015, Operator Theory Advances and Applications. ⟨hal-00943142⟩
183 Consultations
501 Téléchargements

Partager

Gmail Facebook X LinkedIn More