How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

2. Complete and sign the license agreement.

3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2213  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046
Email: cust-serv@ams.org

Visit the AMS Bookstore for individual volume purchases.

Browse the current eBook Collections price list

memo_has_moved_text();Hodge theory in the Sobolev topology for the de Rham complex

Luigi Fontana, Steven G. Krantz and Marco M. Peloso

Publication: Memoirs of the American Mathematical Society
Publication Year 1998: Volume 131, Number 622
ISBNs: 978-0-8218-0830-6 (print); 978-1-4704-0211-2 (online)
DOI: http://dx.doi.org/10.1090/memo/0622
MathSciNet review: 1434991
MSC: Primary 58G20; Secondary 35J25, 35N15, 35S05, 47F05, 58A14, 58G05

View full volume PDF

View other years and numbers:

Chapters

• 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