Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor
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| Autore: |
Mitrea Dorina <1965->
|
| Titolo: |
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2001 |
| Descrizione fisica: | 1 online resource (137 p.) |
| Disciplina: | 510 s |
| 516.3/73 | |
| Soggetto topico: | Riemannian manifolds |
| Boundary value problems | |
| Differential equations, Elliptic - Numerical solutions | |
| Persona (resp. second.): | MitreaMarius |
| TaylorMichael | |
| Note generali: | "Volume 150, number 713 (fourth of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""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"" | |
| Titolo autorizzato: | Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds |
| ISBN: | 1-4704-0306-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788843203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 713.