Federica Gregorio

activity

20172024

most citedFourth-order operators with unbounded coefficients

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

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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) =\{…