The Continuous Classical Boundary Optimal Control of a Couple Linear Of Parabolic Partial Differential Equations
Keywords:boundary optimal control, couple linear parabolic partial differential equations.
AbstractIn this paper the continuous classical boundary optimal problem of a couple linear partial differential equations of parabolic type is studied, The Galerkin method is used to prove the existence and uniqueness theorem of the state vector solution of a couple linear parabolic partial differential equations for given (fixed) continuous classical boundary control vector. The proof of the existence theorem of a continuous classical optimal boundary control vector associated with the couple linear parabolic is given. The Frechet derivative is derived; finally we give a proof of the necessary conditions for optimality (boundary control) of the above problem.
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