Tralli: Hörmander operators in nondivergence form: a Landis-type approach
Tralli: 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. http://cvgmt.sns.it/seminar/664/
When
Thu Nov 8, 2018 1pm – 2pm Coordinated Universal Time
Where
Scuola Normale Superiore, aula Bianchi Scienze (map)
