Calculus of Variations and Geometric Measure Theory

Optimal transport in competition with reaction

Giuseppe Savaré (Bocconi University, Milan)

created by ambrosio on 05 May 2017
modified by paolini on 11 May 2017

16 may 2017 -- 15:00   [open in google calendar]

Scuola Normale Superiore, Aula Mancini


We discuss a new notion of distance on the space of finite and nonnegative measures, which can be seen as an inf-convolution of the well-known Kantorovich-Wasserstein and Hellinger distances. Starting from a dynamic approach (inspired to Benamou-Brenier), we will discuss various equivalent formulations, their geometric properties and their link with optimal transport problems.