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Nonlinear Analysis

Harmonic maps with free boundary and beyond

Yannick Sire, Johns Hopkins University

Location:  Hill Center Room 705
Date & time: Tuesday, 04 October 2022 at 1:40PM - 2:40PM

Abstract: I will introduce a new heat flow for harmonic maps with free boundary. After giving some motivations to study such maps in relation with extremal metrics in spectral geometry, I will construct weak solutions for the flow and derive their partial regularity. The introduction of this new flow is motivated by the so-called half-harmonic maps introduced by Da Lio and Riviere, which provide a new approach to the old topic of harmonic maps with free boundary. I will also state some open problems and possible generalizations.

Seminar website:  Nonlinear Analysis Seminar (https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html