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math.AP2021
Infinite-time concentration in Aggregation--Diffusion equations with a given potential
Jose A. Carrillo, David Gómez-Castro, Juan Luis Vázquez
Typically, aggregation-diffusion is modeled by parabolic equations that combine linear or nonlinear diffusion with a Fokker-Planck convection term. Under very general suitable assu…
math.AP2021★ 1 cited
Growing Solutions of the fractional -Laplacian equation in the Fast Diffusion Range
Juan Luis Vázquez
We establish existence, uniqueness as well as quantitative estimates for solutions to the fractional nonlinear diffusion equation, , where $…