Stability of elliptic Harnack inequalities

Zhen Qing Chen

doi:10.1007/s11425-022-2033-1

Stability of elliptic Harnack inequalities

Zhen Qing Chen^*

^*Corresponding author for this work

University of Washington

Research output: Contribution to journal › Review article › peer-review

Abstract

We survey some recent progress in the study of stability of elliptic Harnack inequalities under form-bounded perturbations for strongly local Dirichlet forms on complete locally compact separable metric spaces.

Original language	English
Pages (from-to)	2179-2190
Number of pages	12
Journal	Science China Mathematics
Volume	66
Issue number	10
DOIs	https://doi.org/10.1007/s11425-022-2033-1
Publication status	Published - Oct 2023
Externally published	Yes

Keywords

31B05
31C25
35J08
47D07
Dirichlet form
Green function
elliptic Harnack inequality
good doubling measure
metric doubling
relative capacity
time change

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10.1007/s11425-022-2033-1

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title = "Stability of elliptic Harnack inequalities",

abstract = "We survey some recent progress in the study of stability of elliptic Harnack inequalities under form-bounded perturbations for strongly local Dirichlet forms on complete locally compact separable metric spaces.",

keywords = "31B05, 31C25, 35J08, 47D07, Dirichlet form, Green function, elliptic Harnack inequality, good doubling measure, metric doubling, relative capacity, time change",

author = "Chen, {Zhen Qing}",

note = "Publisher Copyright: {\textcopyright} 2023, Science China Press.",

year = "2023",

month = oct,

doi = "10.1007/s11425-022-2033-1",

language = "English",

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AB - We survey some recent progress in the study of stability of elliptic Harnack inequalities under form-bounded perturbations for strongly local Dirichlet forms on complete locally compact separable metric spaces.

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KW - 31C25

KW - 35J08

KW - 47D07

KW - Dirichlet form

KW - Green function

KW - elliptic Harnack inequality

KW - good doubling measure

KW - metric doubling

KW - relative capacity

KW - time change

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DO - 10.1007/s11425-022-2033-1

M3 - Review article

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SN - 1674-7283

VL - 66

SP - 2179

EP - 2190

JO - Science China Mathematics

JF - Science China Mathematics

IS - 10

ER -

Stability of elliptic Harnack inequalities

Abstract

Keywords

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