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math.AP2026

Higher order Schrödinger operators

Federica Gregorio, Chiara Spina, Cristian Tacelli

In this paper we consider higher order Schrödinger operators where denotes a fourth order operator and a suitable potential. We initiate our…

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

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 endowed with the weighted…

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…