| Abstract: |
| I will present results on a parabolic flow of Monge-Ampere type whose solution converges in the infinite-time limit to the Kantorovich potential of the optimal transport problem. Existing results pertaining to this flow assume the so-called Ma-Trudinger-Wang (MTW) regularity criterion on the cost function. I will discuss joint work with Jun Kitagawa (Michigan State University) where we show that, even when the MTW condition fails by a quantitative amount, the parabolic Monge-Ampere equation still exhibits desirable asymptotic behavior in the infinite-time limit. |
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