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math.AP2020
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…
math.AP2020★ 1 cited
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…