1 citations · 1 across the 4 of their papers we have counts for
6 papers · 1 filter
Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type Theorem
Alessia E. Kogoj, Ermanno Lanconelli
By exploiting an old idea first used by Pizzetti for the classical Laplacian, we introduce a notion of {\it asymptotic average solutions} making pointwise solvable every Poisson eq…
Instantaneous blowup and singular potentials on Heisenberg groups
Gisele R. Goldstein, Jerome A. Goldstein, Alessia E. Kogoj +2
In this paper we generalize the instantaneous blowup result from [3] and [15] to the heat equation perturbed by singular potentials on the Heisenberg group.
On the Perron solution of the caloric Dirichlet problem: an elementary approach
Alessia E. Kogoj, Ermanno Lanconelli
By an easy trick taken from caloric polynomial theory we construct a family of domains for the caloric Dirichlet problem. is a basis o…
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…
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}…
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…