Heat kernels for time-dependent non-symmetric mixed L?vy-type operators

被引：1

作者：

Chen, Zhen-Qing ^{[1
]}

Zhang, Xicheng ^{[2
,3
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 285卷 / 02期

关键词：

Heat kernel estimates; Non-symmetric nonlocal operator; Dini continuity; TRANSITION-PROBABILITY DENSITY; SYMMETRIC JUMP-PROCESSES; LEVY-TYPE PROCESSES; FUNDAMENTAL SOLUTION;

D O I：

10.1016/j.jfa.2023.109947

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish the existence, uniqueness and reg-ularity of heat kernels to a large class of time-inhomogeneous non-symmetric nonlocal operators with Dini's continuous ker-nels. Moreover, quantitative estimates including two-sided es-timates, gradient and fractional derivative estimates of the heat kernels are obtained. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：58

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