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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Chen, Z. Q. (2023). Stability of elliptic Harnack inequalities. Science China Mathematics, 66(10), 2179-2190. https://doi.org/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",

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KW - Green function

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KW - relative capacity

KW - time change

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Stability of elliptic Harnack inequalities

Abstract

Keywords

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