Chiara Spina

activity

20212026

most citedLp estimates for the Caffarelli-Silvestre extension operators

1 citations · 2 across the 7 of their papers we have counts for

collaborators

9 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.AP2025

Harnack inequality for Bessel operators

Giorgio Metafune, Luigi Negro, Chiara Spina

We prove uniqueness results and Harnack inequality for Bessel operators \begin{align*} %\label{def L transf alpha} D_t-Δ_{x} -2a\cdot\nabla_xD_y- D_{yy}- \frac cy D_y % \nonumber \…

math.AP2024

Sharp kernel bounds for parabolic operators with first order degeneracy

Luigi Negro, Chiara Spina

We prove sharp upper and lower estimates for the parabolic kernel of the singular elliptic operator \begin{align*} \mathcal L&=\mbox{Tr }\left(AD^2\right)+\frac{\left(v,\nabla\righ…

math.AP2024

Gaussian Poincaré inequalities on the half-space with singular weights

Luigi Negro, Chiara Spina

We prove Rellich-Kondrachov type theorems and weighted Poincaré inequalities on the half-space $R_{+}^{N + 1} = {z = (x, y) : x \in R^{N}, y > 0}$ endowed with the weighted G…

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

Kernel bounds for parabolic operators having first-order degeneracy at the boundary

Luigi Negro, Chiara Spina

We study kernel estimates for parabolic problems governed by singular elliptic operators \begin{equation*} \sum_{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad c+1>0, \end{equation…

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★ 1 cited

Lp estimates for the Caffarelli-Silvestre extension operators

Giorgio Metafune, Luigi Negro, Chiara Spina

We study elliptic and parabolic problems governed by the singular elliptic operators Delta_x+c\yD_y-b\y^2 on the half-space R^{N+1}_+.

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

Higher order Schrödinger operators

Harnack inequality for Bessel operators

Sharp kernel bounds for parabolic operators with first order degeneracy

Gaussian Poincaré inequalities on the half-space with singular weights

Fourth-order operators with unbounded coefficients in L1 spaces

Kernel bounds for parabolic operators having first-order degeneracy at the boundary

Fourth-order operators with unbounded coefficients

Lp estimates for the Caffarelli-Silvestre extension operators

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

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