Optimal Control of the Propagation of a Graph in Inhomogeneous Media

Abstract

We study an optimal control problem for viscosity solutions of a Hamilton-Jacobi equation describing the propagation of a one dimensional graph with the control being the speed function. The existence of an optimal control is proved together with an approximate controllability result in the H−1 norm. We prove convergence of a discrete optimal control… (More)
DOI: 10.1137/080723648

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