TY  - BOOK
AU  - Fontana,Luigi
AU  - Krantz,Steven G.
AU  - Peloso,Marco M.
TI  - Hodge theory in the Sobolev topology for the de Rham complex
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470402112 (online)
AV  - QA3QA614.3 .A57 no. 622
U1  - 510 s515/.353 21
PY  - 1998///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Hodge theory
KW  - Differential equations, Elliptic
KW  - Boundary value problems
KW  - Complexes
N1  - "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
UR  - http://www.ams.org/memo/0622
UR  - http://dx.doi.org/10.1090/memo/0622
ER  -