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Monday, September 09, 2019
2:00 PM - 3:00 PM
CNLS Conference Room (TA-3, Bldg 1690)

Colloquium

THE GEOMETRY OF THE FREE BOUNDARY NEAR THE FIXED BOUNDARY GENERATED BY A FULLY NONLINEAR UNIFORMLY ELLIPTIC OPERATOR

Emanuel Indrei
Purdue University

The dynamics of how the free boundary intersects the fixed boundary has been the object of study in the classical dam problem which is a mathematical model describing the filtration of water through a porous medium split into a wet and dry part. By localizing around a point at the intersection of free and fixed boundary, one is led to a PDE generated by a fully nonlinear uniformly elliptic operator. This talk focuses on the regularity problem of the free boundary.

Host: Anatoly Zlotnik