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2016-01-03
A note on some Poincar\'e inequalities on convex sets by Optimal Transport methods
Lorenzo BrascoFilippo Santambrogio
文献摘要
We show that a class of Poincar'e-Wirtinger inequalities on bounded convex sets can be obtained by means of the dynamical formulation of Optimal Transport. This is a consequence of a more general result valid for convex sets, possibly unbounded.
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