Buch, Englisch, 54 Seiten, Book, Format (B × H): 170 mm x 240 mm
Buch, Englisch, 54 Seiten, Book, Format (B × H): 170 mm x 240 mm
Reihe: Publications of the Scuola Normale Superiore
ISBN: 978-88-7642-249-2
Verlag: Edizioni della Normale
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.
Zielgruppe
Research
