Optimal control problems governed by some semilinear parabolic equations. (Q1427920)

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scientific article; zbMATH DE number 2056123
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Optimal control problems governed by some semilinear parabolic equations.
scientific article; zbMATH DE number 2056123

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    Optimal control problems governed by some semilinear parabolic equations. (English)
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    14 March 2004
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    This paper deals with optimal control associated to nonlinear parabolic equations. After giving some known results the author derives a characterization for the optimal control. Then uniqueness of the optimal control is proved by using the strict convexity of the functional. Application to an optimal control problem governed by Keller-Segel equations is done. No numerical application is treated.
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    optimal control
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    Keller--Segel equations
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    optimality conditions
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    uniqueness
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