Hölder gradient estimates for parabolic homogeneous p-Laplacian equations.

We prove interior Hölder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p -Laplacian equation u t = | ∇ u | 2 − p div ( | ∇ u | p − 2 ∇ u ) , where 1 < p < ∞ . This equation arises from tug-of-war -like stochastic games with noise. It can also be considered as the parabolic p -Laplacian equation in non-divergence form. [ABSTRACT FROM AUTHOR]