Published Paper

Inserted: 2 jan 2024
Last Updated: 10 jun 2024

Journal: Journal de Mathématiques Pures et Appliquées
Volume: 188
Pages: 114-178
Year: 2024
Doi: https://doi.org/10.1016/j.matpur.2024.05.009

Abstract:

We present a general convex relaxation approach to study a wide class of Unbalanced Optimal Transport problems for finite non-negative measures with possibly different masses. These are obtained as the lower semicontinuous and convex envelope of a cost for non-negative Dirac masses. New general primal-dual formulations, optimality conditions, and metric-topological properties are carefully studied and discussed.

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