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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
Staff Zu Site
Abstract In Staff Site
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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