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Recent trends in optimal control and partial differential equations

A new perspective on the relativistic Kolmogorov-Fokker-Planck operator

speaker: Francesca Anceschi (Università politecnica delle Marche)

abstract: In this talk, we present a new relativistic Kolmogorov-Fokker-Planck operator introduced for the first time in a joint work with S. Polidoro and A. Rebucci. This operator is hypoelliptic and translation invariant with respect to Lorentz transformations. In this setting, we prove a Harnack inequality and asymptotic lower bounds for its fundamental solution.


timetable:
Tue 9 May, 12:00 - 12:30, Aula Dini
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