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 H1H^{-1}-norm. We prove convergence of a discrete optimal control problem based on a monotone finite difference scheme and describe some numerical results

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Last time updated on 28/06/2012

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