On estimates for fully nonlinear parabolic equations on Riemannian manifolds

Bo Guan, Shujun Shi, Zhenan Sui

Published 2014-09-12Version 1

We present some new ideas to derive {\em a priori} second order estiamtes for a wide class of fully nonlinear parabolic equations. Our methods, which produce new existence results for the initial-boundary value problems in $\bfR^n$, are powerful enough to work in general Riemannian manifolds.