On the exterior problem for parabolic k-Hessian equations-Reference-Cited by-同舟云学术

On the exterior problem for parabolic k-Hessian equations

Published:2022 Issue:10 Volume:21 Page:3407
ISSN:1534-0392
Container-title:Communications on Pure and Applied Analysis
language:
Short-container-title:CPAA

Author:

Zhou Ziwei¹,Bao Jiguang²

Affiliation:

1. School of Statistics, University of International Business and Economics, Beijing 100029, China

2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

Abstract

<p style='text-indent:20px;'>We use Perron method to prove the existence of ancient solutions of the exterior problem for parabolic k-Hessian equations <inline-formula><tex-math id="M1">\begin{document}$ -u_tS_k(D^2u) = 1 $\end{document}</tex-math></inline-formula> with prescribed asymptotic behavior at infinity.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

Reference14 articles.

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