Optimal Control for Systems Described by Semi-linear Parabolic Equations

Faculty Science Year: 2018
Type of Publication: ZU Hosted Pages:
Authors:
Ahmed Nagah Saeed Majid
Journal: WSEAS TRANSACTIONS on MATHEMATICS World Scientific and Engineering Academy and Society Volume:
Keywords : Optimal Control , Systems Described , Semi-linear Parabolic    
Abstract:
We study the well-posedness of an optimal control problem described by semi-linear parabolic equation. The control functions are represented by the coefficients λ(u, v) and β(u, v) which appear in the nonlinear part of the state problem and inside the source strength, respectively. These coefficients depend on the control function v. Then, we obtain some necessary optimality conditions for this problem
    
     
 
       

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