Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso
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| Autore: |
Fontana Luigi <1960->
|
| Titolo: |
Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| ©1998 | |
| Descrizione fisica: | 1 online resource (114 p.) |
| Disciplina: | 510 s |
| 515/.353 | |
| Soggetto topico: | Hodge theory |
| Differential equations, Elliptic | |
| Boundary value problems | |
| Complexes | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | KrantzSteven G <1951-> (Steven George) |
| PelosoMarco M. | |
| Note generali: | "January 1998, volume 131, number 622 (second of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references (pages 98-100). |
| Nota di contenuto: | ""CONTENTS""; ""PRELIMINARIES""; ""0. Introductory Remarks""; ""1. Basic Notation and Definitions""; ""2. Formulation of the Problem and Statement of the Main Results""; ""THE PROBLEM ON THE HALF SPACE""; ""3. The Operator d* on 1-Forms and Its Domain""; ""The Operators K and d*""; ""4. Boutet de Monvel-Type Analysis of the Boundary Value Problem""; ""5. The Explicit Solution in the Case of Functions""; ""The a priori Estimate""; ""The Existence Theorem""; ""6. Analysis of the Problem on the Half Space for q-Forms""; ""THE CASE OF SMOOTHLY BOUNDED DOMAINS"" |
| ""7. Formulation of the Problem on a Smoothly Bounded Domain""""8. A Special Coordinate System""; ""The Tangential Laplacian""; ""The Operator GΩ on Functions""; ""9. The Existence Theorem""; ""The Coercive Estimate""; ""10. The Regularity Theorem in the Case of Functions""; ""The Interior Estimate""; ""The Boundary Estimate""; ""11. Estimates for q-Forms""; ""The Regularity Theorem""; ""Proof of Theorem 11.3""; ""12. The Decomposition Theorem and Conclusions""; ""Proof of the Main Result""; ""Decomposition of W[sup(1)][sub(q)]""; ""13. Final Remarks""; ""References"" | |
| Titolo autorizzato: | Hodge theory in the Sobolev topology for the de Rham complex |
| ISBN: | 1-4704-0211-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480945003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 622.