Università Cattolica del Sacro Cuore

Sharp energy estimates and flatness results for nonlocal phase transitions

Seminario  14 dicembre 2016
Aula: Sala Riunioni -  Ore: 15.00
Via Musei 41, Brescia

Sharp energy estimates and flatness results for nonlocal phase transitions

Introduce:
Prof. Marco Squassina
Università Cattolica del Sacro Cuore

Interviene:
Dott.ssa Eleonora Cinti
Università degli Studi di Torino

Abstract:
We present some recent results in the study of two, closely related, nonlocal problems: the fractional Allen-Cahn equation and the nonlocal minimal surfaces. More precisely, we show sharp energy estimates for minimizers and stable objects for both problems and, as a consequence, we deduce some flatness results in low dimensions.
These results are contained in several works in collaborations with X. Cabré, J. Serra, and E. Valdinoci.



In collaborazione con:



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