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Asymptotic behaviour of optimal solutions in control problems for elliptic equations. (English) Zbl 0764.49001

The author proves an abstract theorem giving sufficient conditions for the solutions to a sequence of optimal control problems to converge to a solution of the limit problem. In the main part of the paper this theorem is then applied to control problems governed by linear elliptic equations of second order under Dirichlet or Neumann boundary conditions.

MSC:

49J20 Existence theories for optimal control problems involving partial differential equations
35B37 PDE in connection with control problems (MSC2000)
49J27 Existence theories for problems in abstract spaces
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