The obstacle problem

Released on by Luis Angel Caffarelli
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  • The obstacle problem Book Detail

  • Author : Luis Angel Caffarelli
  • Release Date : 1999-10-01
  • Publisher : Edizioni della Normale
  • Genre : Mathematics
  • Pages : 0
  • ISBN 13 : 9788876422492
  • File Size : 46,46 MB
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The obstacle problem by Luis Angel Caffarelli PDF Summary

Book 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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