Higher degree layer potentials for non-smooth domains with arbitrary topology |
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Authors: | Dorina Mitrea Marius Mitrea |
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Institution: | (1) Department of Mathematics, University of Missouri-Columbia, 65211 Columbia, MO |
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Abstract: | We consider layer potentials associated with the Hodge-Laplacian acting on differential forms of arbitrary degree defined on Lipschitz subdomains of a Riemannian manifold. The main emphasis is on the interplay between the mapping properties of such layer potentials and the topology of the underlying domain.Partially supported by a UMC Research Board GrantPartially supported by NSF grant DMS-9870018 |
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Keywords: | Primary 42B20" target="_blank">Primary 42B20 32B10 58A10 Secondary 45F15" target="_blank">Secondary 45F15 58G20 |
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