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math.OC2023
On the equivalence of static and dynamic weak optimal transport
Bohdan Bulanyi
We show that there is a PDE formulation in terms of Fokker-Planck equations for weak optimal transport problems. The main novelty is that we introduce a minimization problem involv…
math.OC2021★ 2 cited
On the importance of the connectedness assumption in the statement of the optimal -compliance problem
Bohdan Bulanyi
In this short note we provide a proof of the importance of the connectedness assumption in the statement of the optimal -compliance problem with length penalization and in the s…