ENGLISH

The obstacle problem

By Luis A. Caffarelli

Book information

Publisher
Pisa
Year
1998
ISBN
9788876422492, 8876422498
Open Library ID
OL13432284M
Language
english
Format
DJVU
Filesize
294 kB (301328 bytes)
Series
Publications of the Scuola Normale Superiore
Pages
56\56
Library
Kolxo3
DPI
600
Time added
2010-11-11 16:01:50

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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