Chiara Spina

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20212026

most citedLp estimates for the Caffarelli-Silvestre extension operators

1 citations · 2 across the 7 of their papers we have counts for

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Showing 2024 · math.APShow all

4 papers · 2 filters

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.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 $R_{+}^{N + 1} = {z = (x, y) : x \in R^{N}, y > 0}$ endowed with the weighted G…

math.AP2024

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…

math.AP2024★ 1 cited

Fourth-order operators with unbounded coefficients

Federica Gregorio, Chiara Spina, Cristian Tacelli

We prove that operators of the form $A = - a (x)^{2} Δ^{2}$ , with $∣ D a (x) ∣ \leq c a (x)^{\frac{1}{2}}$ , generate analytic semigroups in $L^{p} (R^{N})$ for $1 < p \leq \infty$ and in $C_b(\m…