Author

Ehsan Abedi

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Preprint Aug 2026

Continuity equation on metric spaces via measure-valued derivations and BV-Wasserstein curves

We introduce a notion of continuity equation on metric spaces that is capable of describing curves of probability measures which are absolutely continuous, and more generally of bounded variation (BV), with respect to the 1-Wasserstein distance. This continuity equation is based on a notion of measure-valued derivation...

Ehsan Abedi, Zhen-Hao Li, T. Schultz · 0 citations