The Obstacle Problem Paperback
by Luis Angel Caffarelli
Part of the Publications of the Scuola Normale Superiore series
Paperback
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.
Information
-
Item not Available
- Format:Paperback
- Pages:54 pages, 54 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:01/10/1999
- Category:
- ISBN:9788876422492
Information
-
Item not Available
- Format:Paperback
- Pages:54 pages, 54 p.
- Publisher:Birkhauser Verlag AG
- Publication Date:01/10/1999
- Category:
- ISBN:9788876422492
