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Boundary Layer Methods for Lipschitz Domains in Riemannian Manifolds

✍ Scribed by Marius Mitrea; Michael Taylor

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 401 KB
Volume: 163
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1998.3383

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✦ Synopsis

We extend to the variable coefficient case boundary layer techniques that have been successful in the treatment of the Laplace equation and certain other constant coefficient elliptic partial differential equations on Lipschitz domains in Euclidean space. We treat the Laplace operator on Lipschitz domains in a manifold with C 1 metric tensor and study the Dirichlet, Neumann, and oblique derivative boundary problems.

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