PDE Seminar

Title: Sufficient conditions for optimality of $c$-cyclically monotone transference plans
Speaker: Laura Caravenna
Speaker Info: SISSA-ISAS, Trieste, Italy
Brief Description:
Special Note:

This seminar concerns the problem of characterizing optimal transport plans in the Monge-Kantorovich problem, with possibly infinite cost functions. More precisely, we are interested in the $c$-cyclical monotonicity condition. It is known that this condition is necessary, and generally not sufficient, for optimality. Nevertheless, it becomes sufficient together with other assumptions: this has been proven separately when the cost is a.e. finite, or continuous, or the marginals are purely atomic measures. We would like to discuss a more general procedure, to decide about the optimality of a $c$-cyclically monotone transport plans, which gives also another prove of the above cases.
Date: Thursday, March 27, 2008
Time: 3.00pm
Where: Lunt 105
Contact Person: Laura Spinolo
Contact email: spinolo@math.northwestern.edu
Contact Phone: 847-467-1823
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