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math.OC2023
On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces
Benoît Bonnet-Weill, Hélène Frankowska
In this article, we derive conditions for the existence of solutions to state-constrained continuity inclusions in Wasserstein spaces whose right-hand sides may be discontinuous in…
math.OC2023★ 2 cited
Carathéodory Theory and A Priori Estimates for Continuity Inclusions in the Space of Probability Measures
Benoît Bonnet-Weill, Hélène Frankowska
In this article, we extend the foundations of the theory of differential inclusions in the space of compactly supported probability measures, introduced recently by the authors, to…