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.
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页数：58
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