A game interpretation of curvature flows and other nonlinear PDE's.

Sylvia Serfaty
Courant Institute, New York University

In a joint work with Robert V. Kohn, we showed how a two person deterministic game converges to the viscosity solution of the mean curvature equation (in level set formulation). This gives a parallel to the optimal control interpretation of first order Hamilton-Jacobi equations. In recent progress, we are able to find analogous interpretations for a large class of nonlinear PDEs.