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20102026
most citedA parabolic flow toward solutions of the optimal transportation problem on domains with boundary

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math.AP2026

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance

F. -U. Caja-Lopez, Matias G. Delgadino, Jun Kitagawa

We establish several quantitative stability estimates for optimal transport maps between non-degenerate densities on uniformly convex domains for the quadratic cost. Under Hölder r…