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

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

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...

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Veröffentlicht in:Journal of optimization theory and applications 2011-12, Vol.151 (3), p.573-588
Hauptverfasser: Jeong, Jin-Mun, Ju, Eun-Young, Cheon, Su-Jin
Format: Artikel
Sprache:eng
Schlagworte:
Adjoints
Applications of Mathematics
Calculus of variations and optimal control
Calculus of Variations and Optimal Control
Optimization
Continuity
Engineering
Evolution
Exact sciences and technology
Hilbert space
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinearity
Operations Research/Decision Theory
Optimal control
Optimization
Sciences and techniques of general use
Studies
Theory of Computation
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Beschreibung
Zusammenfassung: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.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-011-9866-7