How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   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

Powered by MathJax
  Remote Access

Hodge theory in the Sobolev topology for the de Rham complex


About this Title

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

Read more about this volume

View other years and numbers:

Table of Contents


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
American Mathematical Society