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On the hyperbolicity of Maxwell's equations with a local constitutive law

โœ Scribed by Perlick, Volker

Book ID
121005179
Publisher
American Institute of Physics
Year
2011
Tongue
English
Weight
573 KB
Volume
52
Category
Article
ISSN
0022-2488

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A remark on the regularity of solutions
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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