The first initial-boundary value problem of parabolic Monge-Ampere equations outside a bowl-shaped domain

被引：2

作者：

Dai, Limei ^{[1
]}

Cheng, Huihui ^{[2
]}

机构：

[1] Weifang Univ, Sch Math & Informat Sci, Weifang, Peoples R China

[2] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Parabolic Monge-Ampere equations; Initial-boundary value problem; Bowl-shaped domain; Perron method; Asymptotic behavior; EXTERIOR DIRICHLET PROBLEM; THEOREM; CALABI; UNIQUENESS; EXISTENCE; JORGENS;

D O I：

10.1186/s13661-021-01505-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the parabolic Monge-Ampere equations -u(t) det(D(2)u) = g outside a bowl-shaped domain with g being the perturbation of g(0)(vertical bar x|) at infinity. Under the weaker conditions compared with the problem outside a cylinder, we obtain the existence and uniqueness of viscosity solutions with asymptotic behavior for the first initial-boundary value problem by using the Perron method.

引用

页数：17

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