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math.AP2026
Reaction-Diffusion System Approximation to the Fast Diffusion Equation
Hideki Murakawa, Florian Salin
This paper proposes a novel reaction-diffusion system approximation tailored for singular diffusion problems, typified by the fast diffusion equation. While such approximation meth…
math.AP2024
Energy solutions of the Cauchy-Dirichlet problem for fractional nonlinear diffusion equations
Goro Akagi, Florian Salin
The present paper is concerned with the Cauchy-Dirichlet problem for fractional (and non-fractional) nonlinear diffusion equations posed in bounded domains. Main results consist of…