Optimal Control Problems for Evolution Equations of Parabolic Type with Nonlinear Perturbations

Jin-Mun Jeong (), Eun-Young Ju and Su-Jin Cheon
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Jin-Mun Jeong: Pukyong National University
Eun-Young Ju: Pukyong National University
Su-Jin Cheon: Pukyong National University

Journal of Optimization Theory and Applications, 2011, vol. 151, issue 3, No 9, 573-588

Abstract: Abstract In this paper, we study the optimal control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under Lipschitz continuity condition of the nonlinear term, we can obtain the optimal conditions and maximal principles for a given equation, which are described by the adjoint state corresponding to the given equation without the rigorous conditions for the nonlinear term.

Keywords: Evolution equation; Optimal control; Optimal condition; Cost function; Admissible control (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-011-9866-7

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