1 citations · 1 across the 6 of their papers we have counts for
6 papers · 1 filter
A unified approach to degenerate problems in the half-space
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by the singular elliptic operators \begin{equation*} \mathcal L =y^{α_1}Δ_{x} +y^{α_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\r…
Degenerate operators on the half-line
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by the singular elliptic operators in , where $V…
Anisotropic Sobolev spaces with weights
Giorgio Metafune, Luigi Negro, Chiara Spina
We study Sobolev spaces with weights in the half-space , adapted to the singular elliptic operators \begin{equation*} \mathca…
Rellich inequalities in bounded domains
G. Metafune, L. Negro, M. Sobajima +1
We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in Lp for functions in bounded domains vanishing at the boundary. General operators li…
Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficients
Giorgio Metafune, Chiara Spina
We prove heat kernel bounds for the operator (1 + |x|^α)Δin R^N, through Nash inequalities and weighted Hardy inequalities.
Maximal regularity for non-autonomous Schroedinger type equations
El Maati Ouhabaz, Chiara Spina
In this paper we study the maximal regularity property for non-autonomous evolution equations If the equation is considered on a Hilbert sp…