The Neumann Problem for Parabolic Hessian Quotient Equations

Chuan Qiang Chen; Xi Nan Ma; De Kai Zhang

doi:10.1007/s10114-021-0340-7

The Neumann Problem for Parabolic Hessian Quotient Equations

Chuan Qiang Chen^*
, Xi Nan Ma
, De Kai Zhang

^*此作品的通讯作者

Ningbo University
University of Science and Technology of China
Fudan University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the k-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also solutions of the classical Neumann problem converge to a translating solution.

源语言	英语
页（从-至）	1313-1348
页数	36
期刊	Acta Mathematica Sinica, English Series
卷	37
期	9
DOI	https://doi.org/10.1007/s10114-021-0340-7
出版状态	已出版 - 9月 2021
已对外发布	是

访问文件

10.1007/s10114-021-0340-7

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{27b8c15d25f84c78b468f1162b4a4925,

title = "The Neumann Problem for Parabolic Hessian Quotient Equations",

abstract = "In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the k-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also solutions of the classical Neumann problem converge to a translating solution.",

keywords = "35B45, 35J60, 35K20, Neumann problem, Parabolic Hessian quotient equation, translating solution",

author = "Chen, \{Chuan Qiang\} and Ma, \{Xi Nan\} and Zhang, \{De Kai\}",

note = "Publisher Copyright: {\textcopyright} 2021, Springer-Verlag GmbH Germany \& The Editorial Office of AMS.",

year = "2021",

month = sep,

doi = "10.1007/s10114-021-0340-7",

language = "英语",

volume = "37",

pages = "1313--1348",

journal = "Acta Mathematica Sinica, English Series",

issn = "1439-8516",

publisher = "Springer Verlag",

number = "9",

}

TY - JOUR

T1 - The Neumann Problem for Parabolic Hessian Quotient Equations

AU - Chen, Chuan Qiang

AU - Ma, Xi Nan

AU - Zhang, De Kai

PY - 2021/9

Y1 - 2021/9

N2 - In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the k-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also solutions of the classical Neumann problem converge to a translating solution.

AB - In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the k-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also solutions of the classical Neumann problem converge to a translating solution.

KW - 35B45

KW - 35J60

KW - 35K20

KW - Neumann problem

KW - Parabolic Hessian quotient equation

KW - translating solution

UR - https://www.scopus.com/pages/publications/85115199017

U2 - 10.1007/s10114-021-0340-7

DO - 10.1007/s10114-021-0340-7

M3 - 文章

AN - SCOPUS:85115199017

SN - 1439-8516

VL - 37

SP - 1313

EP - 1348

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 9

ER -

The Neumann Problem for Parabolic Hessian Quotient Equations

摘要

访问文件

其它文件与链接

学术指纹

引用此