Boundary control of retarded parabolic systems with the non-homogeneous Dirichlet boundary conditions (Q2745702)

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scientific article; zbMATH DE number 1655100
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Boundary control of retarded parabolic systems with the non-homogeneous Dirichlet boundary conditions
scientific article; zbMATH DE number 1655100

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    Boundary control of retarded parabolic systems with the non-homogeneous Dirichlet boundary conditions (English)
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    5 July 2002
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    boundary Dirichlet control
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    retarded parabolic equation
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    An optimal boundary control problem is studied. The system is described by the Dirichlet problem associated to a linear parabolic PDE with a retarded argument appearing in an integral term. The boundary control satisfies some standard constraints, and the performance functional is an atypical quadratic one. Following the classical approach, the authors derive necessary and sufficient conditions for optimality.
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