A non-expanding transport distance for some structured equations
Analysis of PDEs
2021-02-09 v1
Abstract
Structured equations are a standard modeling tool in mathematical biology. They areintegro-differential equations where the unknown depends on one or several variables, representing the state or phenotype of individuals. A large literature has been devoted to many aspects of these equations and in particular to the study of measure solutions.Here we introduce a transport distance closely related to the Monge-Kantorovich distance,which appears to be non-expanding for several (mainly linear) examples of structured equations.
Keywords
Cite
@article{arxiv.2102.04092,
title = {A non-expanding transport distance for some structured equations},
author = {Nicolas Fournier and Benoît Perthame},
journal= {arXiv preprint arXiv:2102.04092},
year = {2021}
}