Second order estimates for Hessian equations of parabolic type on Riemannian manifolds.

In this paper, we establish the second order estimates for solutions of the first initial–boundary value problem for general Hessian type fully nonlinear parabolic equations on Riemannian manifolds. The techniques used in this article can work for a wide range of fully nonlinear PDEs under very general conditions. [ABSTRACT FROM AUTHOR]