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.

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

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

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