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MaximalLp-regularity for the Laplacian on Lipschitz domains

✍ Scribed by Ian Wood

Publisher: Springer-Verlag
Year: 2006
Tongue: French
Weight: 356 KB
Volume: 255
Category: Article
ISSN: 0025-5874
DOI: 10.1007/s00209-006-0055-6

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## Abstract Let u be a vector field on a bounded Lipschitz domain in ℝ^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