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Point-to-measure estimates for non-divergence operators of Kolmogorov-type

Giovedý 22 febbraio alle ore 12:00 in aula M1.6, edificio Matematica, Dipartimento FIM, Modena

Relatore: Dott. Giulio Tralli (UniversitÓ degli Studi di Roma "La Sapienza")

Abstract: In this talk we will discuss the validity of Harnack inequalities for some linear second order equations in nondivergence form. We are interested in classes of operators for which the analogous of the Krylov-Safonov Harnack inequality is still unknown, due to the absence of proper Aleksandrov-Bakelman-Pucci type estimates. We will show a perturbative approach to prove "point-to-measure" estimates (and hence Harnack inequalities) for operators with coefficients satisfying either a Cordes-Landis assumption or a continuity hypothesis. The main focus will be on a recent result in collaboration with F. Abedin for a class of evolution equations of Kolmogorov-Fokker-Planck type.

[Ultimo aggiornamento: 07/02/2018 11:23:12]