Heat Kernels for Non-symmetric Non-local Operators

Zhen Qing Chen; Xicheng Zhang

doi:10.1515/9783110571561-003

Heat Kernels for Non-symmetric Non-local Operators

Zhen Qing Chen, Xicheng Zhang

科研成果: 书/报告/会议事项章节 › 章节 › 同行评审

12 引用（Scopus）

摘要

We survey some recent progress in the study of heat kernels for a class of non-symmetric non-local operators. We focus on the existence and sharp two-sided estimates of the heat kernels and their connection to jump diffusions.

源语言	英语
主期刊名	Recent developments in Nonlocal Theory
出版商	de Gruyter
页	24-51
页数	28
ISBN（电子版）	9783110571561
ISBN（印刷版）	9783110571554
DOI	https://doi.org/10.1515/9783110571561-003
出版状态	已出版 - 1 1月 2018
已对外发布	是

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Chen, Z. Q., & Zhang, X. (2018). Heat Kernels for Non-symmetric Non-local Operators. 在 Recent developments in Nonlocal Theory (页码 24-51). de Gruyter. https://doi.org/10.1515/9783110571561-003

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abstract = "We survey some recent progress in the study of heat kernels for a class of non-symmetric non-local operators. We focus on the existence and sharp two-sided estimates of the heat kernels and their connection to jump diffusions.",

keywords = "Discontinuous Markov process, L{\'e}vy system, diffusion with jumps, heat kernel estimate, non-local operator, pseudo-differential operator",

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AU - Zhang, Xicheng

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N2 - We survey some recent progress in the study of heat kernels for a class of non-symmetric non-local operators. We focus on the existence and sharp two-sided estimates of the heat kernels and their connection to jump diffusions.

AB - We survey some recent progress in the study of heat kernels for a class of non-symmetric non-local operators. We focus on the existence and sharp two-sided estimates of the heat kernels and their connection to jump diffusions.

KW - Discontinuous Markov process

KW - Lévy system

KW - diffusion with jumps

KW - heat kernel estimate

KW - non-local operator

KW - pseudo-differential operator

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Heat Kernels for Non-symmetric Non-local Operators

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