Green integrals on manifolds with cracks
We prove the existence of a limit in Hm(D) of iterations of a double layer potential constructed from the Hodge parametrix on a smooth compact manifold with boundary, X, and a crack S ⊂ ∂D, D being a domain in X. Using this result we obtain formulas for Sobolev solutions to the Cauchy problem in D w...
| Main Authors: | , , |
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| Format: | Others |
| Language: | English |
| Published: |
Universität Potsdam
2000
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| Subjects: | |
| Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25777 http://opus.kobv.de/ubp/volltexte/2008/2577/ |