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Learning Seminar on PDE and Applications

Quantitative estimates for singular sets of elliptic equations (Part II)

Maximillien Hallgren

Location:  Hill 425
Date & time: Thursday, 02 November 2023 at 2:00PM - 3:20PM

Abstract: This is the second of a series of talks outlining Naber-Valtorta's paper "Volume estimates on the critical sets of solutions to elliptic PDEs". We will see sharp almost-rigidity and almost-splitting theorems for the frequency functions, which show that the frequency pinched points are almost-contained in a codimension two plane. We then define the critical radius and study this quantity in the case of a codimension two almost-symmetry.


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