Optimal trajectories in $L^1$ and under $L^1$ penalizations

Motivated by a MFG model where the trajectories of the agents are piecewise constants and agents pay for the number of jumps, we study a variational problem for curves of measures where the cost includes the length of the curve measures with the $L^1$ distance, as well as other, non-autonomous, cost...

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Bibliographic Details
Main Authors: Dumas, Annette, Santambrogio, Filippo
Format: Article
Language:English
Published: Académie des sciences 2024-07-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.583/
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