Calculus of Variations and Geometric Measure Theory
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System of parabolic equations coupled with a multi-marginal transportation problem.

Maxime Laborde

created by gelli on 17 Oct 2016

26 oct 2016 -- 17:00   [open in google calendar]

Sala Seminari Dipartimento di Matematica di Pisa

Abstract.

In 1998, Jordan, Kinderlehrer and Otto introduced gradient flows in the Wasserstein space to prove existence (and uniqueness) of parabolic equations under very weak assumptions on the initial condition. In this talk, we use this method to study existence and uniqueness of systems of parabolic equations coupled with a multi-marginal problem which can appear for example in urban planning.

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