6 citations · 8 across the 13 of their papers we have counts for
4 papers · 2 filters
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…
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 G…
Singular parabolic operators in the half-space with boundary degeneracy: Dirichlet and oblique derivative boundary conditions
Luigi Negro
We study elliptic and parabolic problems governed by the singular elliptic operators $$ \mathcal L=y^{α_1}\mbox{Tr }\left(QD^2_x\right)+2y^{\frac{α_1+α_2}{2}}q\cdot \nabla_xD_y+γy^…
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…