Chiara Spina

activity

20242026

collaborators

4 papers

math.AP2026

Higher order SchrÃ¶dinger operators

Federica Gregorio, Chiara Spina, Cristian Tacelli

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

math.FA2025

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

Federica Gregorio, Chiara Spina, Cristian Tacelli

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

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-Î_{x} -2a\cdot\nabla_xD_y- D_{yy}- \frac cy D_y % \nonumber…

math.AP2024

Luigi Negro, Chiara Spina

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

Higher order SchrÃ¶dinger operators

Fourth-order operators with unbounded coefficients in L1 spaces

Harnack inequality for Bessel operators

Gaussian PoincarÃ© inequalities on the half-space with singular weights

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