Talaat Abdelhamid, Meknani Bassem, Asmaa A. Amer, Ahmed Nagah, "Optimal Control for Systems Described by Semi-linear Parabolic Equations," WSEAS Transactions on Mathematics, vol. 17, pp. 58-64, 2018, DOI:
Talaat Abdelhamid, Meknani Bassem, Asmaa A. Amer, Ahmed Nagah. Optimal Control for Systems Described by Semi-linear Parabolic Equations.
WSEAS Transactions on Mathematics. 2018;17:58-64.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
Optimal Control for Systems Described by Semi-linear Parabolic Equations
Authors: , , ,
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.
Keywords:
Optimal control, Quasi-linear parabolic equation, Existence, Uniqueness theorems and necessary optimality conditions
Pages: 58-64 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #9 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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