From Knothe's Rearrangement to Brenier's Optimal Transport Map

DOI10.1137/120874850zbMath1263.49059arXiv1205.1099OpenAlexW2052643735MaRDI QIDQ4918831

Nicolas Bonnotte

Publication date: 6 May 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1099

zbMATH Keywords

continuation methodsNash-Moser inverse function theoremoptimal transportKnothe-Rosenblatt rearrangement

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Monge-Ampère equations (35J96)

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