Heat kernels for time-dependent non-symmetric mixed Lévy-type operators

Zhen Qing Chen; Xicheng Zhang

doi:10.1016/j.jfa.2023.109947

Heat kernels for time-dependent non-symmetric mixed Lévy-type operators

Zhen Qing Chen^*
, Xicheng Zhang

^*此作品的通讯作者

数学学院

University of Washington
Wuhan University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

In this paper we establish the existence, uniqueness and regularity of heat kernels to a large class of time-inhomogeneous non-symmetric nonlocal operators with Dini's continuous kernels. Moreover, quantitative estimates including two-sided estimates, gradient and fractional derivative estimates of the heat kernels are obtained.

源语言	英语
期刊论文编号	109947
期刊	Journal of Functional Analysis
卷	285
期	2
DOI	https://doi.org/10.1016/j.jfa.2023.109947
出版状态	已出版 - 15 7月 2023

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10.1016/j.jfa.2023.109947

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@article{61f4a3377a854a1ba66f745005821c58,

title = "Heat kernels for time-dependent non-symmetric mixed L{\'e}vy-type operators",

abstract = "In this paper we establish the existence, uniqueness and regularity of heat kernels to a large class of time-inhomogeneous non-symmetric nonlocal operators with Dini's continuous kernels. Moreover, quantitative estimates including two-sided estimates, gradient and fractional derivative estimates of the heat kernels are obtained.",

keywords = "Dini continuity, Heat kernel estimates, Non-symmetric nonlocal operator",

author = "Chen, \{Zhen Qing\} and Xicheng Zhang",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2023",

month = jul,

day = "15",

doi = "10.1016/j.jfa.2023.109947",

language = "English",

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TY - JOUR

T1 - Heat kernels for time-dependent non-symmetric mixed Lévy-type operators

AU - Chen, Zhen Qing

AU - Zhang, Xicheng

PY - 2023/7/15

Y1 - 2023/7/15

N2 - In this paper we establish the existence, uniqueness and regularity of heat kernels to a large class of time-inhomogeneous non-symmetric nonlocal operators with Dini's continuous kernels. Moreover, quantitative estimates including two-sided estimates, gradient and fractional derivative estimates of the heat kernels are obtained.

AB - In this paper we establish the existence, uniqueness and regularity of heat kernels to a large class of time-inhomogeneous non-symmetric nonlocal operators with Dini's continuous kernels. Moreover, quantitative estimates including two-sided estimates, gradient and fractional derivative estimates of the heat kernels are obtained.

KW - Dini continuity

KW - Heat kernel estimates

KW - Non-symmetric nonlocal operator

UR - https://www.scopus.com/pages/publications/85151532575

U2 - 10.1016/j.jfa.2023.109947

DO - 10.1016/j.jfa.2023.109947

M3 - Article

AN - SCOPUS:85151532575

SN - 0022-1236

VL - 285

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

M1 - 109947

ER -

Heat kernels for time-dependent non-symmetric mixed Lévy-type operators

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