Some remarks on uniform boundary Harnack principles
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Tarih
2021-03-18
Yazarlar
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Yayıncı
Cornell Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We prove two versions of a boundary Harnack principle in which the constants do not depend on the domain by using probabilistic methods.
Açıklama
The first named author, Martin T. Barlow, was partially supported by NSERC (Canada). The second named author, Deniz Karli, was partially supported by NSERC (Canada) and partially by the BAP grant, numbered 20A101, at the Isik University, Istanbul, Turkey. We thank our referees for their comments, and in particular one referee for suggesting a considerable simplification of our proof of Theorem3.1. We also thank Pinar Karli Akgun for drawing the figures in this manuscript.
Anahtar Kelimeler
Boundary Harnack principle, Harmonic functions, Brownian motion, Harnack inequality
Kaynak
Arxiv
WoS Q Değeri
N/A
Scopus Q Değeri
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Sayı
Künye
Barlow, M. T. & Karlı, D. (2021). Some remarks on uniform boundary Harnack principles. Arxiv, 1-17. doi:https://doi.org/10.48550/arXiv.1507.04115
