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College of Liberal Arts and Sciences | Mathematics

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February 19, 2019 | 1:00 p.m. - 2:00 p.m.
Category: Seminar
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free
Speaker: Jun Kitagawa (Michigan State University)
Title: Exponential convergence rate for parabolic optimal transport with boundary
It is well known that the optimal transport (or Monge-Kantorovich problem) can be tackled by solving an elliptic Monge-Ampere equation. One can easily imagine taking a parabolic version of this equation, and viewing the elliptic solution as a stationary limit as time goes to infinity. In this talk, I will discuss a proof of exponential convergence to the stationary solution for such a parabolic equation. This is related to a Harnack type inequality, but differs from the classical Li-Yau case due to presence of nonempty boundary. This talk is based on joint work with Farhan Abedin (MSU).
For more information about this event, please contact Department of Mathematics at 3135772479 or