Interpreting systems of continuity equations in spaces of probability measures through PDE duality

We introduce a notion of duality solution for a single or a system of transport equations in spaces of probability measures reminiscent of the viscosity solution notion for nonlinear parabolic equations. Our notion of solution by duality is, under suitable assumptions, equivalent to gradient flow so...

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Bibliographic Details
Main Authors: Carrillo, JA, Gómez-Castro, D
Format: Journal article
Language:English
Published: Springer 2024

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