A Wasserstein norm for signed measures, with application to non-local transport equation with source term

DOI10.4310/CMS.2023.V21.N5.A4zbMath1527.35336arXiv1910.05105OpenAlexW2788279315MaRDI QIDQ6071728

Magali Tournus, Francesco Rossi, Benedetto Piccoli

Publication date: 28 November 2023

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05105

zbMATH Keywords

transport equationsigned measuresWasserstein distanceKantorovich duality

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spaces of measures, convergence of measures (28A33) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06) Transport equations (35Q49)

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