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

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

2004-07-07

arxiv.org/abs/math/0407106v1

Mathematics

Analysis of PDEs

24 pages

Scientific paper

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 $\exp -f$, where $f$ is an $H$-convex
function which may take the value $\infty$ on a set of positive measure are
included.

Affiliated with

Also associated with

No associations

Rating

Solution of Monge-Ampère Equation on Wiener Space for log-concave measures: General case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Solution of Monge-Ampère Equation on Wiener Space for log-concave measures: General case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solution of Monge-Ampère Equation on Wiener Space for log-concave measures: General case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-729279