Hodge theory in the Sobolev topology for the de Rham complex / [electronic resource] Luigi Fontana, Steven G. Krantz, Marco M. Peloso.

By: Fontana, Luigi, 1960-Contributor(s): Krantz, Steven G. (Steven George), 1951- | Peloso, Marco MMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 622Publication details: Providence, R.I. : American Mathematical Society, c1998Description: 1 online resource (viii, 100 p.)ISBN: 9781470402112 (online)Subject(s): Hodge theory | Differential equations, Elliptic | Boundary value problems | ComplexesAdditional physical formats: Hodge theory in the Sobolev topology for the de Rham complex /DDC classification: 510 s | 515/.353 LOC classification: QA3 | .A57 no. 622 | QA614.3Online resources: Contents | Contents
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 4. Boutet De Monvel-type analysis of the boundary value problem 5. The explicit solution in the case of functions 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 9. The existence theorem 10. The regularity theorem in the case of functions 11. Estimates for $q$-forms 12. The decomposition theorem and conclusions 13. Final remarks
Item type: E-BOOKS
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Link to resource Available EBK13075

"January 1998, volume 131, number 622 (second of 4 numbers)."

Includes bibliographical references (p. 98-100).

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 4. Boutet De Monvel-type analysis of the boundary value problem 5. The explicit solution in the case of functions 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 9. The existence theorem 10. The regularity theorem in the case of functions 11. Estimates for $q$-forms 12. The decomposition theorem and conclusions 13. Final remarks

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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