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Record Nr. |
UNINA9910481000603321 |
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Autore |
Mitrea Dorina <1965-> |
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Titolo |
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2001 |
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ISBN |
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Descrizione fisica |
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1 online resource (137 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 713 |
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Disciplina |
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Soggetti |
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Riemannian manifolds |
Boundary value problems |
Differential equations, Elliptic - Numerical solutions |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 150, number 713 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Chapter 1. Singular integrals on Lipschitz submanifolds of codimension one""; ""Chapter 2. Estimates on fundamental solutions""; ""Chapter 3. General second-order strongly elliptic systems""; ""Chapter 4. The Dirichlet problem for the Hodge Laplacian and related operators""; ""Chapter 5. Natural boundary problems for the Hodge Laplacian in Lipschitz domains""; ""Chapter 6. Layer potential operators on Lipschitz domains""; ""Chapter 7. Rellich type estimates for differential forms"" |
""Chapter 8. Fredholm properties of boundary integral operators on regular spaces""""Chapter 9. Weak extensions of boundary derivative operators""; ""Chapter 10. Localization arguments and the end of the proof of Theorem 6.2""; ""Chapter 11. Harmonic fields on Lipschitz domains""; ""Chapter 12. The proofs of the Theorems 5.1-5.5""; ""Chapter 13. The proofs of the auxiliary lemmas""; ""Chapter 14. Applications to Maxwell's equations on Lipschitz domains""; ""Appendix A. Analysis on Lipschitz manifolds""; ""Appendix B. The connection between dâ??and dâ??Ω""; ""Bibliography"" |
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