Optimality Conditions for Boundary Control Problems of Parabolic Type
This paper is devoted to the study of finite horizon optimal control problems with boundary control. We prove a sufficient condition for optimality of trajectory—control pairs, using a non—smooth analysis approach. We formulate this condition in terms of an Hamiltonian system for which we show an existence and uniqueness result.
1991 Mathematics Subject Classification49K20 49K27
Key words and phrasesOptimality conditions boundary control parabolic equations Neumann boundary conditions analytic semigroups backward uniqueness
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