ENGLISH

The obstacle problem (Publications of the Scuola Normale Superiore)

By Luis A. Caffarelli

Book information

Publisher
Scuola Normale Superiore
Year
1998
ISBN
8876422498, 9788876422492
Open Library ID
OL13432284M
Language
english
Format
DJVU
Filesize
468 kB (479272 bytes)
Edition
1
Pages
56\56
DPI
600
Time added
2012-03-17 06:00:00

Description

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.

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