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math.AP2020
On a perturbed fast diffusion equation with dynamic boundary conditions
Takeshi Fukao
This paper discusses finite time extinction for a perturbed fast diffusion equation with dynamic boundary conditions. The fast diffusion equation has the characteristic property of…
math.AP2020
Vanishing diffusion in a dynamic boundary condition for the Cahn-Hilliard equation
Pierluigi Colli, Takeshi Fukao
The initial boundary value problem for a Cahn-Hilliard system subject to a dynamic boundary condition of Allen-Cahn type is treated. The vanishing of the surface diffusion on the d…