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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-> Visualizza persona
Titolo: Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / / Dorina Mitrea, Marius Mitrea, Michael Taylor Visualizza cluster
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
Soggetto genere / forma: Electronic books.
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  Visualizza cluster
ISBN: 1-4704-0306-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910481000603321
Lo trovi qui: Univ. Federico II
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Serie: Memoirs of the American Mathematical Society ; ; no. 713.