The first initial–boundary value problem for Hessian equations of parabolic type on Riemannian manifolds

Gejun Bao; Weisong Dong; Heming Jiao

doi:10.1016/j.na.2016.05.005

The first initial–boundary value problem for Hessian equations of parabolic type on Riemannian manifolds

Gejun Bao
, Weisong Dong
, Heming Jiao^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

1 Scopus citations

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 C² estimates is our main part. Based on these estimates, the existence of classical solutions is proved under conditions which are nearly optimal.

Original language	English
Pages (from-to)	45-63
Number of pages	19
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	143
DOIs	https://doi.org/10.1016/j.na.2016.05.005
State	Published - 2016

Keywords

First initial–boundary value problem
Fully nonlinear parabolic equations
Riemannian manifolds
a priori estimates

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10.1016/j.na.2016.05.005

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title = "The first initial–boundary value problem for Hessian equations of parabolic type on Riemannian manifolds",

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 C2 estimates is our main part. Based on these estimates, the existence of classical solutions is proved under conditions which are nearly optimal.",

keywords = "First initial–boundary value problem, Fully nonlinear parabolic equations, Riemannian manifolds, a priori estimates",

author = "Gejun Bao and Weisong Dong and Heming Jiao",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2016",

doi = "10.1016/j.na.2016.05.005",

language = "英语",

volume = "143",

pages = "45--63",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - The first initial–boundary value problem for Hessian equations of parabolic type on Riemannian manifolds

AU - Bao, Gejun

AU - Dong, Weisong

AU - Jiao, Heming

PY - 2016

Y1 - 2016

N2 - 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 C2 estimates is our main part. Based on these estimates, the existence of classical solutions is proved under conditions which are nearly optimal.

AB - 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 C2 estimates is our main part. Based on these estimates, the existence of classical solutions is proved under conditions which are nearly optimal.

KW - First initial–boundary value problem

KW - Fully nonlinear parabolic equations

KW - Riemannian manifolds

KW - a priori estimates

UR - https://www.scopus.com/pages/publications/84979556494

U2 - 10.1016/j.na.2016.05.005

DO - 10.1016/j.na.2016.05.005

M3 - 文章

AN - SCOPUS:84979556494

SN - 0362-546X

VL - 143

SP - 45

EP - 63

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

The first initial–boundary value problem for Hessian equations of parabolic type on Riemannian manifolds

Abstract

Keywords

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