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

Heming Jiao

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

Analysis of PDEs 2015-02-14 v1

Authors: Heming Jiao

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.

Keywords

Hessian equations parabolic type Riemannian manifolds second order estimates fully nonlinear PDEs initial-boundary value problem

Cite

@article{arxiv.1502.00336,
  title  = {Second order estimates for Hessian equations of parabolic type on Riemannian manifolds},
  author = {Heming Jiao},
  journal= {arXiv preprint arXiv:1502.00336},
  year   = {2015}
}

Comments

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

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