*SEMINARIO DI ANALISI GEOMETRICA*

Giovedì 8 novembre 2018

ore 14:00

*Scuola Normale Superiore*

Pisa

Aula Bianchi Scienze

*Giulio Tralli*

*(Università di Padova)*

terrà un seminario dal titolo:

*“**Hörmander operators in nondivergence form: a Landis-type approach**”*

*Abstract:*

In this talk we will discuss the validity of Harnack inequalities for linear degenerate-elliptic equations of Hörmander type with non-smooth coefficients. We are interested in operators in nondivergence form, for which the analogous of the Krylov-Safonov Harnack inequality for equations with bounded measurable coefficients is still unknown. We will show a perturbative approach to prove invariant Harnack inequalities for operators with coefficients satisfying either a Cordes-Landis assumption or a continuity hypothesis. We will consider two specific classes of equations: the first class is formed by degenerate-elliptic operators which are horizontally elliptic with respect to Heisenberg-type vector fields; the second one constitutes a class of evolution operators of Kolmogorov-Fokker-Planck type. This talk is mainly based on joint works with F. Abedin and C.E. Gutiérrez.

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze eria Giuliani Scuola Normale Superiore Servizio alla Didattica e Allievi tel. 050 509260 Piazza dei Cavalieri, 7 56126 Pisa E-mail: valeria.giuliani@sns.it E-mail: classi@sns.it