4 citations · 6 across the 15 of their papers we have counts for
15 papers
Asymptotic average solutions for second order hypoelliptic PDEs
Alessia E. Kogoj
Following an analogous procedure with that used in \cite{kogoj_lanconelli_pizzetti}, in turn inspired by a 1909 paper by Pizzetti \cite{pizzetti}, we introduce the notion of {\it a…
One-side Liouville Theorem for hypoelliptic Ornstein--Uhlenbeck operators having drifts with imaginary spectrum
Alessia E. Kogoj, Ermanno Lanconelli, Giulio Tralli
We prove the Liouville theorem for \emph{non-negative} solutions to (possibly degenerate) Ornstein-Uhlenbeck equations whose linear drift has imaginary spectrum. This provides an a…
On the Heat equation involving a Grushin operator in Marcinkiewcz spaces
Alessia E. Kogoj, Maria E. Lima, Arlúcio Viana
In this work, we give sufficient conditions for the existence and uniqueness of the heat equation involving the operator $$ Δ_{\mathcal{G}}=\dfrac{1}{2}\left(Δ_{x}+|x|^2Δ_{y}\right…
A rigidity theorem for Kolmogorov-type operators
Alessia E. Kogoj, E. Lanconelli
Let , , be a bounded open set and let . Assume that the Newtonian potential of is proportional outside to the Newtonian potentia…
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.