Optimal Transportation and Applications

A survey of energy estimates in diffusion PDEs that can be obtained mutatis mutandis in the corresponding JKO scheme

speaker: Filippo Santambrogio (Université Claude Bernard Lyon 1)

abstract: In the talk I will consider many quantities which can be estimated along the iterations of the JKO scheme for various diffusion PDEs which have a variational structure in the Wasserstein space, and in particular in the simplest example, i.e. the Fokker-Planck case: upper and lower bounds, Lipschitz (or Hölder) constants, BV norm, Fisher information..., possibly with their sharp rate of dissipation. I will show when it is possible to recover the same estimates as in the continuous-in-time PDE (same constants,...), and provide some applications.

timetable:
Wed 26 Oct, 11:00 - 11:45, Aula Magna Bruno Pontecorvo
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