Weak solutions to degenerate complex Monge-Ampere flows II

被引：22
|
作者：
Eyssidieux, Philippe [1 ,2 ]
Guedj, Vincent [2 ,3 ]
Zeriahi, Ahmed [3 ]
机构：
[1] Univ Grenoble 1, F-38041 Grenoble, France
[2] Inst Univ France, Paris, France
[3] Inst Math Toulouse, Toulouse, France
来源：
ADVANCES IN MATHEMATICS | 2016年 / 293卷
关键词：
Complex Monge-Ampere flows; Kahler-Ricci flow; Canonical singularities; Viscosity solutions; VISCOSITY SOLUTIONS;
D O I：
10.1016/j.aim.2016.02.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Studying the (long-term) behavior of the Kahler-Ricci flow on mildly singular varieties, one is naturally led to study weak solutions of degenerate parabolic complex Monge-Ampere equations. The purpose of this article, the second of a series on this subject, is to develop a viscosity theory for degenerate complex Monge-Ampere flows on compact Kahler manifolds. Our general theory allows in particular to define and study the (normalized) Kahler-Ricci flow on varieties with canonical singularities, generalizing results of Song and Tian. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：37 / 80
页数：44
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