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math.AP2024
Asymptotic behaviour of solutions and free boundaries of the anisotropic slow diffusion equation
Filomena Feo, Juan Luis Vázquez, Bruno Volzone
In this paper we explore the theory of the anisotropic porous medium equation in the slow diffusion range. After revising the basic theory, we prove the existence of self-similar f…
math.AP2023
Large time behavior of fractional porous media equation
Giovanni Franzina, Bruno Volzone
Following the methodology of [Brasco and Volzone, Adv. Math. 2022], we study the long-time behavior for the signed Fractional Porous Medium Equation in open bounded sets with smoot…