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Learning Seminar on PDE and Applications

Boundary Harnack Principles

Dennis Kriventsov, Rutgers University

Location:  zoom
Date & time: Tuesday, 20 April 2021 at 12:40PM - 2:40PM

Abstract: Boundary Harnack inequalities are common tools in free boundary problems, potential theory, and harmonic analysis on domains. We will look at the proof of the boundary Harnack inequality on Lipschitz domains, discuss what other kinds of domains they are available for, and then consider some recent results on equations with right-hand side (based on joint work with Mark Allen and Henrik Shahgholian).

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