JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: $L^p$ and Sobolev bounds

Filippo Santambrogio, Simone Di Marino

Publication date: 21 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10999

zbMATH Keywords

time-discretization Wasserstein space parabolic PDEs Sobolev bounds Jordan-Kinderlehrer-Otto (JKO) scheme

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35) Cell movement (chemotaxis, etc.) (92C17) Fokker-Planck equations (35Q84)

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JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: \(L^p\) and Sobolev bounds