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Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

โœ Scribed by Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky


Book ID
121262294
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
486 KB
Volume
408
Category
Article
ISSN
0022-247X

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A remark on the regularity of solutions
โœ Martin Costabel ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 202 KB

## Abstract Let u be a vector field on a bounded Lipschitz domain in โ„^3^, and let u together with its divergence and curl be square integrable. If either the normal or the tangential component of u is square integrable over the boundary, then u belongs to the Sobolev space __H__^1/2^ on the domain