Numerical approximation of positive power curvature flow via deterministic games

We approximate the level set solution for the motion of an embedded closed curve in the plane with normal speed $\max(0, κ)^{\ga}$ where $κ$ is the curvature of the curve and $\frac{1}{3}<\ga<1$ by the value functions of a family of deterministic two person games. We show convergence of the value functions to the viscosity solution of the level set equation and propose a numerical scheme for the calculation of the value function.

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