70 citations · 313 across the 31 of their papers we have counts for
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math.HO2021
Remembering Louis Nirenberg and his mathematics
Juan Luis Vázquez
The article is dedicated to recalling the life and mathematics of Louis Nirenberg, a distinguished Canadian mathematician who recently died in New York, where he lived. An emblemat…
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 $…