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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 | |
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.: | 9910829046403321 |
Lo trovi qui: | Univ. Federico II |
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