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Nonlocal Diffusion of Smooth Sets

El Hadji Abdoulaye Thiam
Institution: 
AIMS, Senegal
Schedule: 
Thursday, December 12, 2019 - 15:00
Location: 
Luigi Stasi Seminar Room, ICTP
Abstract: 

In the spirit of Evans work on diffusion of smooth sets, we consider in this talk the normalvelocity of smooth sets evolving bys−fractional heat equation. We prove that for small time, the normalvelocity of such sets is proportional to the mean curvature for $s\in [1/2,1)$ while it is proportional to thefractional mean curvature of its boundary for $s\in (0,1/2)$.

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