Lagrangian stability for a system of non-local continuity equations under Osgood condition
Analysis of PDEs
2023-01-30 v1 Classical Analysis and ODEs
Abstract
We extend known existence and uniqueness results of weak measure solutions for systems of non-local continuity equations beyond the usual Lipschitz regularity. Existence of weak measure solutions holds for uniformly continuous vector fields and convolution kernels, while uniqueness follows from a Lagrangian stability estimate under an additional Osgood condition.
Keywords
Cite
@article{arxiv.2301.11822,
title = {Lagrangian stability for a system of non-local continuity equations under Osgood condition},
author = {Marco Inversi and Giorgio Stefani},
journal= {arXiv preprint arXiv:2301.11822},
year = {2023}
}
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11 pages