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Regularizing effects of the entropy functional in optimal transport and planning problems

  • Published:2023-02 Issue:3 Volume:284 Page:109759
  • ISSN:0022-1236
  • Container-title:Journal of Functional Analysis
  • language:en
  • Short-container-title:Journal of Functional Analysis

Author:

Porretta Alessio

Publisher

Elsevier BV

Subject

Analysis

Reference35 articles.

1. Gradient Flows in Metric Spaces and in the Space of Probability Measures;Ambrosio,2008

2. Some estimates for the planning problem with potential;Bakaryan;Nonlinear Differ. Equ. Appl.,2021

3. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem;Benamou;Numer. Math.,2000

4. Variational mean field games;Benamou,2017

5. Weak solutions for first order mean field games with local coupling;Cardaliaguet,2015

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1. Free boundary regularity and support propagation in mean field games and optimal transport;Journal de Mathématiques Pures et Appliquées;2024-10

2. Matrix Displacement Convexity Along Density Flows;Archive for Rational Mechanics and Analysis;2024-08-27

3. Efficient Preconditioners for Solving Dynamical Optimal Transport via Interior Point Methods;SIAM Journal on Scientific Computing;2024-05-02

4. Regularity and Long Time Behavior of One-Dimensional First-Order Mean Field Games and the Planning Problem;SIAM Journal on Mathematical Analysis;2024-01-03

5. Classical solutions to local first-order extended mean field games;ESAIM: Control, Optimisation and Calculus of Variations;2023
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