Calculus of Variations and Geometric Measure Theory

Nonlocal phase transitions and minimal surfaces

Enrico Valdinoci (Università di Roma II, Tor Vergata)

created by gelli on 13 Dec 2016

25 jan 2017 -- 17:00   [open in google calendar]

Aula Seminari Dipartimento di Matematica di Pisa

Abstract.

We present some recent results on a nonlocal version of the Allen-Cahn equation, which is also related, at a large scale, to surfaces which minimise a nonlocal perimeter functional. We discuss some features, such as symmetry property, regularity and rigidity results.