BV estimates in optimal transportation and applications

  • Guido De Philippis (Écoles Normales Supérieures Lyon)
G3 10 (Lecture hall)


I will study BV regularity for solutions of variational problems in Optimal Transportation and present some applications. In particular I will focus on $BV$ bounds for the Wasserstein projection on the set of measure with density bounded by a prescribed $BV_{\rm loc}$ function $f$. I will also show how to recover BV estimates for solutions of some non-linear parabolic PDE by means of optimal transportation techniques. This is a joint work with A. Meszaros, F. Santambrogio and B. Velichkov.

Katja Heid

Bernd Kirchheim

Universität Leipzig

Stephan Luckhaus

Universität Leipzig

Emanuele Spadaro

Max-Planck-Institut für Mathematik in den Naturwissenschaften