Seminario / Garofalo
GIOVEDÌ 17 OTTOBRE, alle ore 16:00 (precise)
in SALA di RAPPRESENTANZA
presso il DIPARTIMENTO DI MATEMATICA dell'Università degli Studi di Milano
in Via C. Saldini 50, il
prof. NICOLA GAROFALO
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.