C. Tacelli

activity

20162022

most citedInstantaneous blowup and singular potentials on Heisenberg groups

1 citations · 1 across the 2 of their papers we have counts for

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math.AP2022★ 1 cited

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.

math.AP2021

Bi-Kolmogorov type operators and weighted Rellich's inequalities

Davide Addona, Federica Gregorio, Abdelaziz Rhandi +1

In this paper we consider the symmetric Kolmogorov operator $L = Δ + \frac{\nabla μ}{μ} \cdot \nabla$ on $L^{2} (R^{N}, d μ)$ , where $μ$ is the density of a probability measure on $\math…

math.AP2019

Some results on second-order elliptic operators with polynomially growing coefficients in $L^{p}$ -spaces

Sallah Eddine Boutiah, Loredana Caso, Federica Gregorio +1

In this paper we study minimal realizations in $L^{p} (R^{N})$ of the second order elliptic operator \begin{equation*} { A_{b,c}} := (1+|x|^α)Δ+ b|x|^{α-2}x\cdot\nabla - c |x|^…

math.AP2017

Elliptic operators with unbounded diffusion, drift and potential terms

S. E. Boutiah, F. Gregorio, A. Rhandi +1

We prove that the realization $A_{p}$ in $L^{p} (R^{N}), 1 < p < \infty$ , of the elliptic operator $A = (1 + ∣ x ∣^{α}) Δ + b ∣ x ∣^{α - 1} \frac{x}{∣ x ∣} \cdot \nabla - c ∣ x ∣^{β}$ with domain $D(A_p) =\{…

math.AP2016

Optimal kernel estimates for a Schrödinger type operator

Anna Canale, Cristian Tacelli

In the paper the principal result obtained is the estimate for the heat kernel associated to the Schrödinger type operator $(1 + ∣ x ∣^{α}) Δ - ∣ x ∣^{β}$ \[ k(t,x,y)\leq Ct^{-\fracθ{2}}\frac {…