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Record Nr. |
UNINA9910480945003321 |
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Autore |
Fontana Luigi <1960-> |
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Titolo |
Hodge theory in the Sobolev topology for the de Rham complex / / Luigi Fontana, Steven G. Krantz, Marco M. Peloso |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1998] |
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©1998 |
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ISBN |
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Descrizione fisica |
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1 online resource (114 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 622 |
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Disciplina |
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Soggetti |
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Hodge theory |
Differential equations, Elliptic |
Boundary value problems |
Complexes |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1998, volume 131, number 622 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 98-100). |
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Nota di contenuto |
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""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""; |
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