2 papers
math.AP2022
Short time existence and smoothness of the nonlocal mean curvature flow of graphs
Anoumou Attiogbe, Mouahmed Moustapha Fall, Tobias Weth
We consider the geometric evolution problem of entire graphs moving by fractional mean curvature. For this, we study the associated nonlocal quasilinear evolution equation satisfie…
math.AP2021
Nonlocal diffusion of smooth sets
Anoumou Attiogbe, El Hadji Abdoulaye Thiam, Mouhamed Moustapha Fall
We consider normal velocity of smooth sets evolving by the fractional diffusion. We prove that for small time, the normal velocity of such sets is nearly proportional to the me…