3 papers
math.AP2025
On the existence of solutions to some singular parabolic free boundary problems
Alessandro Audrito, Tomás Sanz-Perela
We construct nonnegative weak solutions to the singular parabolic free boundary problem \[ \partial_t u - Îu = - \frac{\mathrm{d}}{\mathrm{d} u} u_+^γ, \] where , $u…
math.AP2025
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 equation…
math.AP2024
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 e…