# 非线性抛物方程古典解的一个先验估计A Priori Estimates for Classical Solutions of Fully Non-linear Parabolic Equations

Abstract: For the fully nonlinear uniformly parabolic equations .It is well known that the viscosity solutions are of if the nonlinear operators are convex (or concave). In this paper, we study the classical solution for the fully nonlinear parabolic equations, where the nonlinear operators F is local almost everywhere for .It will be shown the interiorregularity of the classical solutions provided there exists a function ρ that is a continuous modulus of second order derivatives of the classical solution.

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