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arXiv · 2301.11822

Lagrangian stability for a system of non-local continuity equations under Osgood condition

Marco Inversi·Giorgio Stefani
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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.

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Marco Inversi, Giorgio Stefani. 2023-01-27. Lagrangian stability for a system of non-local continuity equations under Osgood condition. https://arxiv.org/abs/2301.11822

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