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

Abstract

In this paper, we establish the second order estimates of solutions to 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.

18 pages, 0 figure. arXiv admin note: text overlap with arXiv:1501.06037 by other authors