Federica Gregorio

activity

20172026

most citedFourth-order operators with unbounded coefficients

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

collaborators

6 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.OC2024

Controllability of Forward Stochastic Reaction--Convection--Diffusion Systems with Cascade Structure

Abdellatif Elgrou, Federica Gregorio, Abdelaziz Rhandi

We investigate the null and approximate controllability of coupled linear forward stochastic reaction--convection--diffusion systems under suitable cascade coupling conditions. The…

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.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.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) =\{…

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

Controllability of Forward Stochastic Reaction--Convection--Diffusion Systems with Cascade Structure

Fourth-order operators with unbounded coefficients in L1 spaces

Fourth-order operators with unbounded coefficients

Bi-Kolmogorov type operators and weighted Rellich's inequalities

Elliptic operators with unbounded diffusion, drift and potential terms

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

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