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Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron

✍ Scribed by Annalisa Buffa; Martin Costabel; Monique Dauge

Book ID: 104447709
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 111 KB
Volume: 336
Category: Article
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(03)00138-9

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✦ Synopsis

As representatives of a larger class of elliptic boundary value problems of mathematical physics, we study the Dirichlet problem for the Laplace operator and the electric boundary problem for the Maxwell operator. We state regularity results in two families of weighted Sobolev spaces: A classical isotropic family, and a new anisotropic family, where the hypoellipticity along an edge of a polyhedral domain is taken into account.

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