Luigi De Pascale
Monge's transport problem in the Heisenberg group.
Mon, 01/25/2010 - 16:01 — SomNambulAuthors: Luigi De Pascale, Severine Rigot
Subjects: Analysis of PDEs
AbstractWe prove the existence of solutions to Monge transport problem between two
compactly supported Borel probability measures in the Heisenberg group equipped
with its Carnot-Caratheodory distance assuming that the initial measure is
absolutely continuous with respect to the Haar measure of the group.A strategy for non-strictly convex transport costs and the example of ||x-y||p in R2.
Wed, 09/16/2009 - 13:15 — SomNambulAuthors: Filippo Santambrogio, Guillaume Carlier, Luigi De Pascale
Subjects: Classical Analysis and ODEs
AbstractThis paper deals with the existence of optimal transport maps for some
optimal transport problems with a convex but non strictly convex cost. We give
a decomposition strategy to address this issue. As part of our strategy, we
have to treat some transport problems, of independent interest, with a convex
constraint on the displacement.A strategy for non-strictly convex transport costs and the example of ||x-y||p in R2.
Wed, 09/16/2009 - 13:15 — SomNambulAuthors: Filippo Santambrogio, Guillaume Carlier, Luigi De Pascale
Subjects: Classical Analysis and ODEs
AbstractThis paper deals with the existence of optimal transport maps for some
optimal transport problems with a convex but non strictly convex cost. We give
a decomposition strategy to address this issue. As part of our strategy, we
have to treat some transport problems, of independent interest, with a convex
constraint on the displacement.
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