[CvGmt News] Seminario Valdinoci (10/05/2016)

[Alfonso Sorrentino]

SEMINARIO DI ANALISI ED EQUAZIONI DIFFERENZIALI
Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"


Martedi' 10 Maggio 2016, ore 14:30 Aula dal Passo

Enrico Valdinoci (WIAS, Berlino)

Title: "Nonlocal minimal surfaces"

Abstract:
We give an introductory exposition about some surfaces which minimize a
nonlocal perimeter functional. These objects naturally arise in the study
of the interfaces of phase transitions, when the particles exhibit
long-range interactions or when boundary effects are present.
In addition, these nonlocal minimal surfaces have concrete applications in
several areas, such as image processing and mathematical biology.
We will present some results concerning interior regularity and rigidity
of nonlocal minimal surfaces, with some quantitative estimates and some
qualitative descriptions in several examples. We will describe also the
(rather unusual) boundary behavior of these object and their connection
with the fractional Allen-Cahn equation.


Website: http://www.mat.uniroma2.it/~castorin/Seminario-PDE.html


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Viale della Ricerca Scientifica 1
00133 Rome (Italy)

Phone: +39 06 72594663
Fax:      +39 06 72594699
Email: sorrentino at mat.uniroma2.it