A stability theorem for elliptic Harnack inequalities

Details A stability theorem for elliptic Harnack inequalities A stability theorem for elliptic Harnack inequalities

2011-05-20

arxiv.org/abs/1105.4087v1

Mathematics

Probability

Scientific paper

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.

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