Boundary Harnack principle and elliptic Harnack inequality

2017/01/07 by Barlow, Martin T., Murugan, Mathav
#31B05 #31B25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1701.01782

Abstract

We prove a scale-invariant boundary Harnack principle for inner uniform domains over a large family of Dirichlet spaces. A novel feature of our work is that our assumptions are robust to time changes of the corresponding diffusions. In particular, we do not assume volume doubling property for the symmetric measure.

Related

• Boundary Harnack principle on uniform domains
• Scale-invariant boundary Harnack principle on inner uniform domains in\n fractal-type spaces
• Boundary Harnack principle for Δ+ Δ^α/2
• On the Parabolic Boundary Harnack Principle
• Boundary Harnack principle for non-local operators on metric measure spaces