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The obstacle problem - Publications of the Scuola Normale Superiore (Paperback)
  • The obstacle problem - Publications of the Scuola Normale Superiore (Paperback)

The obstacle problem - Publications of the Scuola Normale Superiore (Paperback)

Paperback 54 Pages / Published: 01/10/1999
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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.

Publisher: Birkhauser Verlag AG
ISBN: 9788876422492
Number of pages: 54
Weight: 168 g
Dimensions: 240 x 170 x 5 mm

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