BOUNDARY HARNACK PRINCIPLE FOR JUMP DIFFUSIONS

Zhen Qing Chen

doi:10.3934/dcdss.2025104

BOUNDARY HARNACK PRINCIPLE FOR JUMP DIFFUSIONS

Zhen Qing Chen^*

^*Corresponding author for this work

University of Washington

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we survey some recent developments in the study of boundary Harnack principle for non-local operators on metric measure spaces and on Euclidean spaces.

Original language	English
Pages (from-to)	2937-2955
Number of pages	19
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	18
Issue number	10
DOIs	https://doi.org/10.3934/dcdss.2025104
Publication status	Published - Oct 2025
Externally published	Yes

Keywords

Boundary Harnack principle
discontinuous Markov process
exit distribution
harmonic function
jump measure
Lévy system
non-local operator

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10.3934/dcdss.2025104

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title = "BOUNDARY HARNACK PRINCIPLE FOR JUMP DIFFUSIONS",

abstract = "In this paper, we survey some recent developments in the study of boundary Harnack principle for non-local operators on metric measure spaces and on Euclidean spaces.",

keywords = "Boundary Harnack principle, discontinuous Markov process, exit distribution, harmonic function, jump measure, L{\'e}vy system, non-local operator",

author = "Chen, \{Zhen Qing\}",

year = "2025",

month = oct,

doi = "10.3934/dcdss.2025104",

language = "English",

volume = "18",

pages = "2937--2955",

journal = "Discrete and Continuous Dynamical Systems - Series S",

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AB - In this paper, we survey some recent developments in the study of boundary Harnack principle for non-local operators on metric measure spaces and on Euclidean spaces.

KW - Boundary Harnack principle

KW - discontinuous Markov process

KW - exit distribution

KW - harmonic function

KW - jump measure

KW - Lévy system

KW - non-local operator

UR - https://www.scopus.com/pages/publications/105013675368

U2 - 10.3934/dcdss.2025104

DO - 10.3934/dcdss.2025104

M3 - Article

AN - SCOPUS:105013675368

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JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 10

ER -

BOUNDARY HARNACK PRINCIPLE FOR JUMP DIFFUSIONS

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