Contents
Preface vii
Numerical analysis of a multi-phasic mass transport problem 1
J-D.
BENAMOU, Y. BRENIER, AND K. GUITTET
Extension of the Monge-Kantorovich theory to classical electrodynamics 19
Y.
BRENIER
The Monge Ampere equation and optimal transportation 43
L. CAFFARELLI
Logarithmic Sobolev inequalities and spectral gaps 53
E. CARLEN and M. Loss
Non-smooth differential properties of optimal transport 61
D.
CORDERO-ERAUSQUIN
Inequalities for generalized entropy and optimal transportation 73
D.
CoRDERO-ERAUSQUIN,
W.
GANGBO, and C. HoUDRE
Trend to equilibrium for dissipative equations, functional inequalities and mass
transportation 95
C. VILLANI
v
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