OPTIMAL CONTROLLABILITY FOR SCALAR CONSERVATION LAWS WITH CONVEX FLUX
Résumé
In this paper we derive a method to obtain a solution of an optimal control problem for a scalar conservation laws with convex flux. By using the method of descent, this type of problem was considered by Castro-Palacios-Zuazua in [5] for the Burgers equation. Our approach is simple and based on the explicit formulas of Hopf and Lax-Olenik.
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