We will first recall some classical regularity results for second order fully nonlinear elliptic equations, as well as (degenerate elliptic) p-Laplacian equations in divergence form. Then we will introduce the p-Laplacian equation in non-divergence form, which arises from tug-of-war-like stochastic games with noise. We will prove interior Holder estimates for the spatial gradient of viscosity solutions to such parabolic equations.
T2, 18/12/2017 - 15:00
Tên báo cáo:
Regularity of some second order PDEs