3 papers
math.AP2020
Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators
Alessia E. Kogoj, Ermanno Lanconelli, Enrico Priola
We prove, with a purely analytic technique, a one-side Liouville theorem for a class of Ornstein--Uhlenbeck operators in , as a consequence of a Liou…
math.AP2019
On the Dirichlet problem in cylindrical domains for evolution Ole\vınik--Radkevič PDE's: a Tikhonov-type theorem
Alessia E. Kogoj
We consider the linear second order PDO's $$ \mathscr{L} = \mathscr{L}_0 - \partial_t : = \sum_{i,j =1}^N \partial_{x_i}(a_{i,j} \partial_{x_j} ) - \sum_{j=i}^N b_j \partial_{x_j}…
math.AP2016
On the Dirichlet Problem for hypoelliptic evolution equations: Perron-Wiener solution and a cone-type criterion
Alessia E. Kogoj
We show how to apply harmonic spaces potential theory in the study of the Dirichlet problem for a general class of evolution hypoelliptic partial differential equations of second o…