Publications of the Scuola Normale Superiore

The obstacle problem

Authors: Caffarelli, Luis Angel

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About this book

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.

Buy this book

Softcover $24.95
price for USA
  • ISBN 978-88-7642-249-2
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.

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Bibliographic Information

Bibliographic Information
Book Title
The obstacle problem
Authors
Series Title
Publications of the Scuola Normale Superiore
Copyright
1999
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-249-2
Edition Number
1
Number of Pages
54
Topics