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

被引:0
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作者
Jin-Mun Jeong
Eun-Young Ju
Su-Jin Cheon
机构
[1] Pukyong National University,Department of Applied Mathematics
关键词
Evolution equation; Optimal control; Optimal condition; Cost function; Admissible control;
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学科分类号
摘要
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.
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页码:573 / 588
页数:15
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