Optimal Control Problem for a Modified Novikov Equation with Dissipation
Jiangbo Zhou, Jing Chen, Junde Chen
Archives of Current Research International · pp. 17–27 · Published 3 Jan 2015
10.9734/ACRI/2014/15087Abstract
This paper investigate the optimal control problem for a modified Novikov equation with dissipation. The existence and uniqueness of regular local solution to the corresponding initial boundary value problem is guaranteed by the Faedo-Galerkin method. A critical estimate of the solution is obtained. Finally, the existence of an optimal solution to the control problem is proved.
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