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arXiv 2004-07-07 0 views

Solution of Monge-Ampère Equation on Wiener Space for log-concave measures: General case

Feyel, Denis · Ustunel, A. S.

Original · EN

We show the existence of the strong solutions of the Monge-Ampere equation for the log-concave measures without any regularity assumption. In particular the measures with density of the form -f, where f is an H-convex function which may take the value ∞ on a set of positive measure are included.

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