12 citations · 26 across the 13 of their papers we have counts for
5 papers · 2 filters
Unique continuation from conical boundary points for fractional equations
Alessandra De Luca, Veronica Felli, Stefano Vita
We provide fine asymptotics of solutions of fractional elliptic equations at boundary points where the domain is locally conical; that is, corner type singularities appear. Our met…
Boundary unique continuation in planar domains by conformal mapping
Stefano Vita
Let be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes…
A priori regularity estimates for equations degenerating on nodal sets
Susanna Terracini, Giorgio Tortone, Stefano Vita
We prove a priori and a posteriori Hölder bounds and Schauder estimates for continuous solutions of degenerate elliptic equations with variable coefficients of the form $…
Higher order Schauder estimates for degenerate or singular parabolic equations
Alessandro Audrito, Gabriele Fioravanti, Stefano Vita
In this paper, we complete the analysis initiated in [AFV24] establishing some higher order Schauder estimates () for a a class of parabolic equations…
Schauder estimates for parabolic equations with degenerate or singular weights
Alessandro Audrito, Gabriele Fioravanti, Stefano Vita
We establish some and regularity estimates for a class of weighted parabolic problems in divergence form. The main novelty is that the weights may vanish or exp…