| Title:
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HODGE THEORY IN THE SOBOLEV TOPOLOGY FOR THE DE RHAM COMPLEX
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| By: |
Luigi Fontana, Steven G. Krantz, Marco M. Peloso |
| Format: |
Paperback |
| List price:
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£44.95 |
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| ISBN 10: |
0821808303 |
| ISBN 13: |
9780821808306 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 March, 1998 |
| Edition: |
UK ed. |
| Series: |
Memoirs of the American Mathematical Society No. 622 |
| Pages: |
100 |
| Description: |
Treats the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L^2$ topology. This study takes place on both the upper half space and on a smoothly bounded domain. It also gives an introduction to elliptic theory, pseudo-differential operators, and boundary value problems. |
| Synopsis: |
In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L^2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain. It features: a good introduction to elliptic theory, pseudo-differential operators, and boundary value problems; theorems completely explained and proved; and new geometric tools for differential analysis on domains and manifolds. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |