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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…
Fourth-order operators with unbounded coefficients in spaces
Federica Gregorio, Chiara Spina, Cristian Tacelli
We prove that operators of the form , with suitable growth conditions on the coefficient , generate analytic semigroups in . In particular,…
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…
Fourth-order operators with unbounded coefficients
Federica Gregorio, Chiara Spina, Cristian Tacelli
We prove that operators of the form , with , generate analytic semigroups in for and in $C_b(\m…