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.

引用

页数：19

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