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

^*Corresponding author for this work

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

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.

Original language	English
Pages (from-to)	1313-1348
Number of pages	36
Journal	Acta Mathematica Sinica, English Series
Volume	37
Issue number	9
DOIs	https://doi.org/10.1007/s10114-021-0340-7
State	Published - Sep 2021
Externally published	Yes

Keywords

35B45
35J60
35K20
Neumann problem
Parabolic Hessian quotient equation
translating solution

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10.1007/s10114-021-0340-7

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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",

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

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T1 - The Neumann Problem for Parabolic Hessian Quotient Equations

AU - Chen, Chuan Qiang

AU - Ma, Xi Nan

AU - Zhang, De Kai

PY - 2021/9

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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

Abstract

Keywords

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