5 papers
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…
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…
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…
Regularity theory for parabolic operators in the half-space with boundary degeneracy
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by the singular elliptic operators \begin{align*} \mathcal L=y^{α_1}\mbox{Tr }\left(QD^2_xu\right)+2y^{\frac{α_1+α_2}{2}}q\cdot…
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+…