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Item Details
| Title:
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THE OBSTACLE PROBLEM
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| By: |
Luis Angel Caffarelli |
| Format: |
Paperback |
| List price:
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£14.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
8876422498 |
| ISBN 13: |
9788876422492 |
| Publisher: |
BIRKHAUSER VERLAG AG |
| Pub. date: |
1 October, 1999 |
| Series: |
Publications of the Scuola Normale Superiore |
| Pages: |
54 |
| Description: |
The obstacle problem consists in studying the properties of minimizers of the Dirichlet integral in a domain D of Rn, among all those configurations u with prescribed boundary values and costrained to remain in D above a prescribed obstacle F. |
| Synopsis: |
The material presented here corresponds to Fermi lectures that I was invited to deliver at the Scuola Normale di Pisa in the spring of 1998. The obstacle problem consists in studying the properties of minimizers of the Dirichlet integral in a domain D of Rn, among all those configurations u with prescribed boundary values and costrained to remain in D above a prescribed obstacle F. In the Hilbert space H1(D) of all those functions with square integrable gradient, we consider the closed convex set K of functions u with fixed boundary value and which are greater than F in D. There is a unique point in K minimizing the Dirichlet integral. That is called the solution to the obstacle problem. |
| Illustrations: |
54 p. |
| Publication: |
Italy |
| Imprint: |
Scuola Normale Superiore |
| Returns: |
Returnable |
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