68 citations · 321 across the 52 of their papers we have counts for
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math.AP2017
L^ estimates for the jko scheme in parabolic-elliptic keller-segel systems
José-Antonio Carrillo, Filippo Santambrogio
We prove L^ estimates on the densities that are obtained via the JKO scheme for a general form of a parabolic-elliptic Keller-Segel type system, with arbitrary diffusion, a…
math.AP2017★ 2 cited
Metric methods for heteroclinic connections in infinite dimensional spaces
Antonin Monteil, Filippo Santambrogio
We consider the minimal action problem min \int\_R 1/2 |'|^2 + W() dt among curves lying in a non-locally-compact metric space and connecting two given zeros of W 0. Fo…
math.AP2017★ 1 cited
Optimal density evolution with congestion: L infinity bounds via flow interchange techniques and applications to variational Mean Field Games
Hugo Lavenant, Filippo Santambrogio
We consider minimization problems for curves of measure, with kinetic and potential energy and a congestion penalization, as in the functionals that appear in Mean Field Games with…