# A stability theorem for elliptic Harnack inequalities

Journal of the European Mathematical Society (2013)

- Volume: 015, Issue: 3, page 857-876
- ISSN: 1435-9855

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topBass, Richard F.. "A stability theorem for elliptic Harnack inequalities." Journal of the European Mathematical Society 015.3 (2013): 857-876. <http://eudml.org/doc/277282>.

@article{Bass2013,

abstract = {We prove a stability theorem for the elliptic Harnack inequality: if two weighted graphs are equivalent, then the elliptic Harnack inequality holds for harmonic functions with respect to one of the graphs if and only if it holds for harmonic functions with respect to the other graph. As part of the proof, we give a characterization of the elliptic Harnack inequality.},

author = {Bass, Richard F.},

journal = {Journal of the European Mathematical Society},

keywords = {Harnack inequality; random walks on graphs; Poincaré inequality; cutoff inequality; metric measure space; Harnack inequality; random walks on graphs; Poincaré inequality; cutoff inequality; metric measure space},

language = {eng},

number = {3},

pages = {857-876},

publisher = {European Mathematical Society Publishing House},

title = {A stability theorem for elliptic Harnack inequalities},

url = {http://eudml.org/doc/277282},

volume = {015},

year = {2013},

}

TY - JOUR

AU - Bass, Richard F.

TI - A stability theorem for elliptic Harnack inequalities

JO - Journal of the European Mathematical Society

PY - 2013

PB - European Mathematical Society Publishing House

VL - 015

IS - 3

SP - 857

EP - 876

AB - We prove a stability theorem for the elliptic Harnack inequality: if two weighted graphs are equivalent, then the elliptic Harnack inequality holds for harmonic functions with respect to one of the graphs if and only if it holds for harmonic functions with respect to the other graph. As part of the proof, we give a characterization of the elliptic Harnack inequality.

LA - eng

KW - Harnack inequality; random walks on graphs; Poincaré inequality; cutoff inequality; metric measure space; Harnack inequality; random walks on graphs; Poincaré inequality; cutoff inequality; metric measure space

UR - http://eudml.org/doc/277282

ER -

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