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Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso
| Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso |
| Autore | Fontana Luigi <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
Differential equations, Elliptic Boundary value problems Complexes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0211-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480945003321 |
Fontana Luigi <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso
| Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso |
| Autore | Fontana Luigi <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
Differential equations, Elliptic Boundary value problems Complexes |
| ISBN | 1-4704-0211-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788733503321 |
|
Fontana Luigi <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso
| Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso |
| Autore | Fontana Luigi <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hodge theory
Differential equations, Elliptic Boundary value problems Complexes |
| ISBN | 1-4704-0211-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910829046403321 |
|
Fontana Luigi <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||