Existence and Approximationin Optimal Shape
نویسنده
چکیده
We consider a system given by a second order elliptic equation with jumps in the coeecients. This models a body made of two diierent materials and we study the question of the material distribution that minimizes a certain cost functional. We introduce a local compactness condition for a class of characteristic functions to obtain the existence of the optimum. We also indicate a new approximation procedure via a distributed control approach for the original shape optimization problem. By letting some of the coeecients tend to 0 or to 1 we obtain existence results for optimal shape design problems governed by Neumann or Dirichlet boundary value problems.
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