Fontana, Luigi, 1960-
Hodge theory in the Sobolev topology for the de Rham complex / [electronic resource] Luigi Fontana, Steven G. Krantz, Marco M. Peloso. - Providence, R.I. : American Mathematical Society, c1998. - 1 online resource (viii, 100 p.) - Memoirs of the American Mathematical Society, v. 622 0065-9266 (print); 1947-6221 (online); .
"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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470402112 (online)
Hodge theory.
Differential equations, Elliptic.
Boundary value problems.
Complexes.
QA3 QA614.3 / .A57 no. 622
510 s 515/.353
Hodge theory in the Sobolev topology for the de Rham complex / [electronic resource] Luigi Fontana, Steven G. Krantz, Marco M. Peloso. - Providence, R.I. : American Mathematical Society, c1998. - 1 online resource (viii, 100 p.) - Memoirs of the American Mathematical Society, v. 622 0065-9266 (print); 1947-6221 (online); .
"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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470402112 (online)
Hodge theory.
Differential equations, Elliptic.
Boundary value problems.
Complexes.
QA3 QA614.3 / .A57 no. 622
510 s 515/.353