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Boundary value problems for Dirac operators and Maxwell's equations in non-smooth domains

✍ Scribed by Marius Mitrea

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 146 KB
Volume: 25
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.375

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✦ Synopsis

Abstract

We study the well‐posedness of the half‐Dirichlet and Poisson problems for Dirac operators in three‐dimensional Lipschitz domains, with a special emphasis on optimal Lebesgue and Sobolev‐Besov estimates. As an application, an elliptization procedure for the Maxwell system is devised. Copyright © 2002 John Wiley & Sons, Ltd.

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