### CAS Seminar

# Palina Salanevich

### (Jacobs University)

## "Monge-Kantorovich mass transfer problem with *L*^{1} cost function"

** Date: ** |
Tue, March 10, 2015 |

** Time: ** |
11:15 |

** Place: ** |
Research I Seminar Room |

**Abstract:** We are going to consider the Monge-Kantorovich problem in the case when the cost density is equal to the distance. In this case, the nonuniform convexity of the cost density defeats the techniques we used before (in the case of uniformly convex cost density *c*= 1/2(distance)^{2}). We are going to discuss the solution of the dual problem and the existence of optimal mass transfer plan in this more complicated case.