The first initial boundary value problem for Hessian equations of parabolic type on Riemannian manifolds
Analysis of PDEs
2015-02-17 v1
Abstract
In this paper, we are concerned with the first initial boundary value problem for a class of fully nonlinear parabolic equations on Riemannian manifolds. As usual, the establishment of the a priori C^2 estimates is our main part. Based on these estimates, the existence of classical solutions is proved under conditions which are nearly optimal.
Keywords
Cite
@article{arxiv.1502.04325,
title = {The first initial boundary value problem for Hessian equations of parabolic type on Riemannian manifolds},
author = {Weisong Dong and Heming Jiao},
journal= {arXiv preprint arXiv:1502.04325},
year = {2015}
}