Stability of elliptic Harnack inequality

2016/10/05 by Barlow, Martin T., Murugan, Mathav · 2 citations
#31C25 #31E05 #35J15 #60J45 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Probability (math.PR)

paper · doi:10.48550/arxiv.1610.01255

Abstract

We prove that the elliptic Harnack inequality (on a manifold, graph, or suitably regular metric measure space) is stable under bounded perturbations, as well as rough isometries.

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