Neumann problem for singular degenerate parabolic equations
Yoshikazu Giga, Moto-Hiko Sato · Differential and Integral Equations · 1993
We prove a comparison theorem for viscosity solutions of singular degenerate parabolic equations with the Neumann boundary condition on a domain not necessarily convex.Our result applies to various level set equations including the Neumann problem for the mean curvature flow equations where every level set of solutions moves by its mean curvature and perpendicularly intersects the boundary of the domain.