The parabolic Monge-Ampere equation on compact almost Hermitian manifolds

被引：12

作者：

Chu, Jianchun ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Yiheyuan Rd 5, Beijing 100871, Peoples R China

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2020年 / 761卷

关键词：

NONLINEAR ELLIPTIC-EQUATIONS; COMPLEX; METRICS;

D O I：

10.1515/crelle-2018-0019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the long time existence and uniqueness of solutions to the parabolic Monge-Ampere equation on compact almost Hermitian manifolds. We also show that the normalization of solution converges to a smooth function in C-infinity topology as t -> infinity. Up to scaling, the limit function is a solution of the Monge-Ampere equation. This gives a parabolic proof of existence of solutions to the Monge-Ampere equation on almost Hermitian manifolds.

引用

页码：1 / 24

页数：24

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