A Comparison Principle for Parabolic Complex Monge-Ampere Equations

被引：0
|
作者：
Do, Hoang-Son [1 ]
Thanh Cong Ngoc Pham [2 ]
机构：
[1] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet, Hanoi, Vietnam
[2] VNU Univ Sci, Dept Math, 334 Nguyen Trai, Hanoi, Vietnam
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 01期
关键词：
Viscosity solutions; Parabolic Monge-Ampere equation; Pluripotential theory; VISCOSITY SOLUTIONS; FLOWS;
D O I：
10.1007/s12220-021-00748-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Cauchy-Dirichlet problem for parabolic complex Monge-Ampere equations on strongly pseudoconvex domains using the viscosity method. We prove a comparison principle for parabolic complex Monge-Ampere equations and use it to study the existence and uniqueness of viscosity solution in certain cases where the sets {z is an element of Omega : f(t, z) = 0} may be pairwise disjoint.
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页数：19
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