Logo Università degli Studi di Milano


Seminario / Garofalo

GIOVEDÌ 17 OTTOBRE, alle ore 16:00 (precise) 

presso il DIPARTIMENTO DI MATEMATICA dell'Università degli Studi di Milano
in Via C. Saldini 50, il


della Università di Padova


terra' la conferenza dal titolo:


"Sobolev and isoperimetric inequalities for Kolmogorov-Fokker-Planck operators"

Abstract: In his seminal 1934 paper on Brownian motion and the theory of gases
Kolmogorov introduced a second order hypoellipitc evolution equation which displays
many challenging features. Thirty years later, in the opening of his famous 1967
hypoellipticity paper, Hormander discussed a general class of degenerate
Ornstein-Uhlenbeck operators that includes Kolmogorov’s as a special case. The natural
semigroups attached to such equations need not be symmetric or doubling, thus the
existing theories do not readily apply. As a consequence, despite the large amount of
work done by many people over the past thirty years, some basic questions have remained
unsettled, such as Hardy-Littlewood-Sobolev and Isoperimetric inequalities and the study
of local and nonlocal minimal surfaces.  In this lecture I will present some interesting
developments in the above program. This is joint work with Giulio Tralli. 

Tutti gli interessati sono invitati a partecipare.

04 ottobre 2019
Torna ad inizio pagina