Optimal control of an elliptic system with conjugation conditions and Neumann boundary conditions (Q2571527)

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Optimal control of an elliptic system with conjugation conditions and Neumann boundary conditions
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    Optimal control of an elliptic system with conjugation conditions and Neumann boundary conditions (English)
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    11 November 2005
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    The problem of minimization of a quadratic functional on the solutions set of an elliptic system is considered.The system is linear with respect to control. The state of the system is described by Neumann boundary-value problems with conjugation conditions. The values of control belong to a closed convex set of a Hilbert space. Under appropriate assumptions existence theorems are proved.When the control set is the whole space, computation schemes for discretization of optimization problems are proposed.
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    conditionally correct elliptic system
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    conjugation condition
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    Neumann boundary condition
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    optimal control
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