A density result for the regularized Maxwell equations in a Lipschitz domain

Citation
M. Costabel et M. Dauge, A density result for the regularized Maxwell equations in a Lipschitz domain, CR AC S I, 327(9), 1998, pp. 849-854
Citations number
14
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
327
Issue
9
Year of publication
1998
Pages
849 - 854
Database
ISI
SICI code
0764-4442(199811)327:9<849:ADRFTR>2.0.ZU;2-9
Abstract
We show the density of smooth functions in the space of square integrable v ector fields whose curl, divergence, and tangential (or normal) trace on th e boundary are square integrable. Our proof is based an the H-3/2 regularit y Sor the Dirichlet and Neumann problems and constitutes a simplification a nd generalization of [3]. (C) Academie des Sciences/Elsevier, Paris.