Mathematical Sciences Department
Analysis & PDE Seminar
Speaker: Giovanna Citti, Università di Bologna
Monday, September 25, 2023
11:00 am – 12:00 pm
Atwater Kent 219
Zoom Meeting ID: 929 6655 1992
Title: Regularity of solution of sub-Riemannian type operators
Abstract: We prove a Poincaré type inequality, for a large class of operators, containing subelliptic and Kolmogorov type PDEs. As a consequence, we deduce Hölder regularity of weak solutions. The main scope of the paper is to unify in a natural way several results in the literature for these type of operators. In particular we show that the elliptic version of the Moser argument can be used also in the parabolic setting, at the price of the lack of uniformity in the constants.