Monotonicity of solutions for the uniformly elliptic nonlocal Bellman equation on the upper half space

被引：0

作者：

Chen, Xueying ^{[1
]}

Bao, Gejun ^{[1
]}

Li, Guanfeng ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 496卷 / 02期

关键词：

Sliding method; Uniformly elliptic nonlocal Bellman operator; Maximum principle; Upper half space; Monotonicity; Uniqueness; MOVING PLANES; LAPLACIAN; SYMMETRY;

D O I：

10.1016/j.jmaa.2020.124843

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a sliding method for the uniformly elliptic nonlocal Bellman operator. We first establish a maximum principle on an upper half space, which plays an important role in the sliding method. Then we consider equations involving the uniformly elliptic nonlocal Bellman operator on the upper half space, and prove the monotonicity and uniqueness of solutions for the uniformly elliptic nonlocal Bellman equation. We use a new idea-estimating the singular integrals defining the operator along a sequence of approximate maximum points. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：18

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