15 citations · 22 across the 8 of their papers we have counts for
3 papers · 1 filter
A numerical study of an Heaviside function driven degenerate diffusion equation
Carlo Alberini, Raffaela Capitanelli, Stefano Finzi Vita
We analyze a nonlinear degenerate parabolic problem whose diffusion coefficient is the Heaviside function of the distance of the solution itself from a given target function. We sh…
On the time fractional heat equation with obstacle
Carlo Alberini, Raffaela Capitanelli, Mirko D'Ovidio +1
We study a Caputo time fractional degenerate diffusion equation which we prove to be equivalent to the fractional parabolic obstacle problem, showing that its solution evolves for…
Fractional Cauchy problem on random snowflakes
Raffaela Capitanelli, Mirko D'Ovidio
We consider time-changed Brownian motions on random Koch (pre-fractal and fractal) domains where the time change is given by the inverse to a subordinator. In particular, we study…