2 papers
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.AP2023
Singular parabolic problems in the half-space
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by singular elliptic operators \begin{equation*} \mathcal L =\sum_{i,j=1}^{N+1}q_{ij}D_{ij}+\frac c y D_y \end{equation*} in the h…