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      Optimal shape for elliptic problems with random perturbations  [Article]

      Buttazzo, Giuseppe; Maestre Caballero, Faustino (American Institute of Mathematical Sciences, 2011-12)
      In this paper we analyze the relaxed form of a shape optimization problem with state equation − div a(x)Du = f in D boundary conditions on ∂D. The new fact is that the term f is only known up to a random perturbation ξ(x, ...