C. Tacelli

activity

20112026

most citedInstantaneous blowup and singular potentials on Heisenberg groups

1 citations · 4 across the 11 of their papers we have counts for

collaborators

15 papers

math.AP2026

$L^{p}$ -regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients

Federica Gregorio, Chiara Spina, Cristian Tacelli

We prove that operators of the form $A = - Δ^{2} - V (x)$ , with $∣ D V (x) ∣ \leq γ V (x)^{\frac{5}{4}} + C_{γ}$ for some $γ$ small enough and $C_{γ}$ positive constant, generate analytic semigroups…

math.AP2026

Higher order Schrödinger operators

Federica Gregorio, Chiara Spina, Cristian Tacelli

In this paper we consider higher order Schrödinger operators $L u = Lu + V u,$ where $L$ denotes a fourth order operator and $V \geq 0$ a suitable potential. We initiate our a…

math.DS2024

Kernel estimates for a class of fractional Kolmogorov operators

Marianna Porfido, Abdelaziz Rhandi, Cristian Tacelli

Assuming a weighted Nash type inequality for the generator $- A$ of a Markov semigroup, we prove a weighted Nash type inequality for its fractional power and deduce non-uniform boun…

math.FA2024

Fourth-order operators with unbounded coefficients in $L^{1}$ spaces

Federica Gregorio, Chiara Spina, Cristian Tacelli

We prove that operators of the form $A = - a (x)^{2} Δ^{2}$ , with suitable growth conditions on the coefficient $a (x)$ , generate analytic semigroups in $L^{1} (R^{N})$ . In particular,…

math.AP2024★ 1 cited

Fourth-order operators with unbounded coefficients

Federica Gregorio, Chiara Spina, Cristian Tacelli

We prove that operators of the form $A = - a (x)^{2} Δ^{2}$ , with $∣ D a (x) ∣ \leq c a (x)^{\frac{1}{2}}$ , generate analytic semigroups in $L^{p} (R^{N})$ for $1 < p \leq \infty$ and in $C_b(\m…

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.AP2022★ 1 cited

Fourth-order Schrödinger type operator with unbounded coefficients in $L^{2} (R^{N})$

Federica Gregorio, Cristian Tacelli

In this paper we study generation results in $L^{2} (R^{N})$ for the fourth order Schrödinger type operator with unbounded coefficients of the form $A = a^{2} Δ^{2} + V^{2}$ where…

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.AP2017

Weighted Hardy's inequalities and Kolmogorov-type operators

Anna Canale, Federica Gregorio, Abdelaziz Rhandi +1

We give general conditions to state the weighted Hardy inequality \[ c\int_{\mathbb{R}^N}\frac{φ^2} {|x|^2}dμ\leq\int_{\mathbb{R}^N}|\nabla φ|^2 dμ+C\int_{\mathbb{R}^N} φ^2dμ,\quad…

math.AP2016★ 1 cited

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 {…

math.AP2015

Kernel estimates for Schrödinger type operators with unbounded diffusion and potential terms

Anna Canale, Abdelaziz Rhandi, Cristian Tacelli

We prove that the heat kernel associated to the Schrödinger type operator $A := (1 + ∣ x ∣^{α}) Δ - ∣ x ∣^{β}$ satisfies the estimate $$k(t,x,y)\leq c_1e^{λ_0t}e^{c_2t^{-b}}\frac{(|x||y|)^{-\frac…

math.AP2014

Schrödinger type operators with unbounded diffusion and potential terms

Anna Canale, Abdelaziz Rhandi, Cristian Tacelli

We prove that the realization $A_{p}$ in $L^{p} (R^{N}), 1 < p < \infty$ , of the Schrödinger type operator $A = (1 + ∣ x ∣^{α}) Δ - ∣ x ∣^{β}$ with domain $D(A_p)=\{u\in W^{2,p}(\mathbb{R}^N): Au\…

math.FA2011

Behavior of bivariate interpolation operators at points of discontinuity of the first kind

Michele Campiti, Giusy Mazzone, Cristian Tacelli

We introduce an index of convergence for double sequences of real numbers. This index is used to describe the behaviour of some bivariate interpolation sequences at points of disco…

Lp-regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients

Higher order Schrödinger operators

Kernel estimates for a class of fractional Kolmogorov operators

Fourth-order operators with unbounded coefficients in L1 spaces

Fourth-order operators with unbounded coefficients

Instantaneous blowup and singular potentials on Heisenberg groups

Fourth-order Schrödinger type operator with unbounded coefficients in L2(RN)

Bi-Kolmogorov type operators and weighted Rellich's inequalities

Some results on second-order elliptic operators with polynomially growing coefficients in Lp-spaces

Elliptic operators with unbounded diffusion, drift and potential terms

Weighted Hardy's inequalities and Kolmogorov-type operators

Optimal kernel estimates for a Schrödinger type operator

Kernel estimates for Schrödinger type operators with unbounded diffusion and potential terms

Schrödinger type operators with unbounded diffusion and potential terms

Behavior of bivariate interpolation operators at points of discontinuity of the first kind

$L^{p}$ -regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients

Fourth-order operators with unbounded coefficients in $L^{1}$ spaces

Fourth-order Schrödinger type operator with unbounded coefficients in $L^{2} (R^{N})$

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