A perturbative approach to the parabolic optimal transport problem for non-MTW costs

Farhan Abedin, Jun Kitagawa

Fix a pair of smooth source and target densities $\rho$ and ${\rho }^{\ast }$ of equal mass, supported on bounded domains $\Omega ,{\Omega }^{\ast }\subset {\mathbb{R}}^n$. Also fix a cost function $c_0 \in C^{4,α}(…