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On an Optimal control Problem for Parabolic Equations
Journal: International Journal of Computational Engineering Research(IJCER) (Vol.5, No. 3)Publication Date: 2015-03-30
Authors : M. H. FARAG T. A. NOFAL A. I. EL-NASHAR N. M. AL-BAQMI;
Page : 14-21
Keywords : Optimal control problem; parabolic Equations; Existence solution; Fréchet gradient; Adjoint problem; Lipschitz continuity.;
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Abstract
Consideration was given to the problem of optimal control of parabolic equations. The existence solution of the considering optimal control parabolic problem is proved. The expression of the gradient of the cost functional using the adjoint system is obtained. Lipschitz continuity of the gradient is derived.
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Last modified: 2015-05-15 18:43:41