Session S18 - Recent progress in non-linear PDEs and their applications

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A GAME THEORETICAL APPROACH FOR AN ELLIPTIC SYSTEM WITH TWO DIFFERENT OPERATORS (THE LAPLACIAN AND THE INFINITY LAPLACIAN)

Alfredo Miranda

Universidad de Bs. As., Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract. In this paper we analyze the behaviour of value functions of some Tug-of-War / random walks games as a parameter that controls the length of the steps goes to zero. We show that these value functions converge uniformly to a viscosity solution of an elliptic system governed by two different operators (the Laplacian and the infinity Laplacian).

Joint work with Julio D. Rossi (Universidad de Bs. As.).

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