Hamilton Jacobi Equations with Obstacles

De Lellis, Camillo ; Robyr, Roger

In: Archive for Rational Mechanics and Analysis, 2011, vol. 200, no. 3, p. 1051-1073

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    Summary
    We consider a problem in the theory of optimal control proposed for the first time by Bressan. We characterize the associated minimum time function using tools from geometric measure theory and we obtain, as a corollary, an existence theorem for a related variational problem