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Boundary layer methods for Lipschitz domains in Riemannian manifolds - MaRDI portal

Boundary layer methods for Lipschitz domains in Riemannian manifolds (Q1288247)

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scientific article; zbMATH DE number 1286366
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Boundary layer methods for Lipschitz domains in Riemannian manifolds
scientific article; zbMATH DE number 1286366

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    Boundary layer methods for Lipschitz domains in Riemannian manifolds (English)
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    7 February 2000
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    The paper extends the boundary layer techniques for Lipschitz domains to the variable coefficient case. A particular emphasis is given to the Laplace-Beltrami operator on a manifold equipped with a Riemannian metric tensor, and there are studied the Dirichlet, Neumann, and oblique derivative boundary problems.
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    Laplace operator
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    Lipschitz domain
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    boundary layer method
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    Cauchy integral
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