Optimal control for the boundary flux to the continuous casting problem.

Yi, F.; Shih, T.M.; Yong, J.

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Renormalized solutions of a nonlinear parabolic equation with double degeneracy.

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Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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The constructive approach on existence of time optimal controls of system governed by nonlinear equations on Banach spaces.

Wang, Jinrong, Xiang, X., Wei, W. (2009)

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Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs

Peter I. Kogut, Günter Leugering (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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We are concerned with the asymptotic analysis of optimal control problems for $1$ -D partial differential equations defined on a periodic planar graph, as the period of the graph tends to zero. We focus on optimal control problems for elliptic equations with distributed and boundary controls. Using approaches of the theory of homogenization we show that the original problem on the periodic graph tends to a standard linear quadratic optimal control problem for a two-dimensional homogenized...