Neumann boundary optimal control problems governed by parabolic variational equalities

• Autorzy: Bollo Carolina M. , Gariboldi Claudia M. , Tarzia Domingo A.
• Języki publikacji: EN

Abstrakty

EN

We consider a heat conduction problem S with mixed boundary conditions in an n-dimensional domain with regular boundary and a family of problems S^α with also mixed boundary conditions in , where α > 0 is the heat transfer coefficient on the portion of the boundary Г1. In relation to these state systems, we formulate Neumann boundary optimal control problems on the heat flux q which is definite on the complementary portion Г2 of the boundary of Ω. We obtain existence and uniqueness of the optimal controls, the first order optimality conditions in terms of the adjoint state and the convergence of the optimal controls, the system state and the adjoint state when the heat transfer coefficient α goes to infinity. Furthermore, we formulate particular boundary optimal control problems on a real parameter λ, in relation to the parabolic problems S and S^αα

Słowa kluczowe

EN

parabolic variational equalities; optimal control; mixed boundary conditions; optimality conditions; convergence

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2021
• Tom: Vol. 50, No. 2
• Strony: 227--252
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Bollo Carolina M.

• Depto. Matemática, FCEFQyN, Universidad Nac. de Río Cuarto, Ruta 36 Km 601, 5800 Río Cuarto, Argentina

autor

Gariboldi Claudia M.

• Depto. Matemática, FCEFQyN, Universidad Nac. de Río Cuarto, Ruta 36 Km 601, 5800 Río Cuarto, Argentina

autor

Tarzia Domingo A.

• Depto. Matemática-CONICET, FCE, Universidad Austral, Paraguay 1950, S2000FZF Rosario, Argentina

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