Seminario di analisi matematica
ore
16:00
presso Aula Vitali
We show how to apply Harmonic Spaces Potential Theory
in studying Dirichlet problem for a general class of
evolution hypoelliptic PDEs of second order.
We construct Perron-Wiener solution and we show a new regularity criterion for the boundary points.
Our criterion extends and generalizes the classical parabolic-cone
criterion for the Heat equation due to Effros and Kazdan.
The class of operator to which our results apply contains the Heat
operators on stratified Lie groups and the prototypes of the Kolmogorov operators.