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Nonlinear Analysis

Boundary Harnack Principle on Nodal Domains

Fanghua Lin, Courant Institute, NYU

Location:  Zoom
Date & time: Wednesday, 17 November 2021 at 9:30AM - 10:30PM

Abstract: The Boundary Harnack Principle for an elliptic equation asserts that two positive solutions of the same equation that vanish on a portion of the boundary of the domain, then their ratio must be locally bounded. This principle plays a very important role in classical potential analysis and has proven to be very useful, for example, in studies of harmonic measures and free boundary regularity. In this talk, we shall discuss the Harnack principle for a class of nodal domains and some related applications.

Zoom link :
Meeting ID: 964 3090 5091 Passcode: 491508

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