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Stability of Elliptic Harnack Inequality

Zhen-Qing Chen, University of Washington
Monday, May 16, 2022 - 2:30pm to 3:30pm
THO 125
Harnack inequality, if it holds, is a useful tool in analysis and probability theory.
In this talk, I will discuss scale invariant elliptic Harnack inequality for symmetric diffusion processes, or equivalently, for symmetric differential operators on metric measure spaces. We show that the elliptic Harnack inequality is stable under form-comparable perturbation for strongly local Dirichlet forms on complete locally compact separable metric spaces that satisfy metric doubling property. Based on joint work with Martin Barlow and Mathav Murugan. 
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