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

Heming Jiao

doi:10.1016/j.jde.2015.08.031

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

Heming Jiao^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	7662-7680
Number of pages	19
Journal	Journal of Differential Equations
Volume	259
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2015.08.031
State	Published - 15 Dec 2015

Keywords

A priori estimates
Fully nonlinear parabolic equations
Riemannian manifolds
The first initial-boundary value problem

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10.1016/j.jde.2015.08.031

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title = "Second order estimates for Hessian equations of parabolic type on Riemannian manifolds",

abstract = "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.",

keywords = "A priori estimates, Fully nonlinear parabolic equations, Riemannian manifolds, The first initial-boundary value problem",

author = "Heming Jiao",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = dec,

day = "15",

doi = "10.1016/j.jde.2015.08.031",

language = "英语",

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T1 - Second order estimates for Hessian equations of parabolic type on Riemannian manifolds

AU - Jiao, Heming

PY - 2015/12/15

Y1 - 2015/12/15

N2 - 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.

AB - 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.

KW - A priori estimates

KW - Fully nonlinear parabolic equations

KW - Riemannian manifolds

KW - The first initial-boundary value problem

UR - https://www.scopus.com/pages/publications/84943357238

U2 - 10.1016/j.jde.2015.08.031

DO - 10.1016/j.jde.2015.08.031

M3 - 文章

AN - SCOPUS:84943357238

SN - 0022-0396

VL - 259

SP - 7662

EP - 7680

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 12

ER -

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

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Keywords

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