20–24 Jun 2022
Dipartimento di Matematica Università di Pisa
Europe/Rome timezone

Stability of the ball under volume preserving fractional mean curvature flow

23 Jun 2022, 11:40
50m
Aula magna (Dipartimento di Matematica Università di Pisa)

Aula magna

Dipartimento di Matematica Università di Pisa

Largo Bruno Pontecorvo, 5, 56127 Pisa PI

Speaker

Annalisa Cesaroni (Università di Padova)

Description

I will consider the volume preserving fractional mean curvature flow of a nearly spherical set, showing long time existence and exponential convergence to a ball. The main technical tool used in the proof is a quantitative Alexandrov type estimate for nearly spherical sets.
The result applies in particular to convex initial data under the assumption of global existence.

Presentation materials