THE CAUCHY-DIRICHLET PROBLEM FOR PARABOLIC DEFORMED HERMITIAN-YANG-MILLS EQUATION

被引：0
|
作者：
Huang, Liding [1 ]
Zhang, Jiaogen [2 ]
机构：
[1] Westlake Univ, Westlake Inst Adv Study, 18 Shilongshan Rd,Cloud Town, Hangzhou, Peoples R China
[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 10期
基金：
中国博士后科学基金;
关键词：
Deformed Hermitian-Yang-Mills equation; energy functional; heat; flow; COMPLEX MONGE-AMPERE; 2ND-ORDER ELLIPTIC-EQUATIONS; EIGENVALUES; REGULARITY;
D O I：
10.1090/proc/16384
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to investigate the parabolic deformed Hermitian-Yang-Mills equation with hypercritical phase in a smooth domain & omega; & SUB; Cn. By using J-functional, we are able to prove the convergence of solutions. As an application, we give an alternative proof of the Dirichlet problem for deformed Hermitian-Yang-Mills equation.
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页码：4543 / 4556
页数：14
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