Lipschitz L² stability estimates for OT maps in terms of 2-MK distance (and C^{1,α} under Hölder) plus explicit second variation of quadratic MK distance via Monge-Ampère linearization.
Boundary regularity of maps with convex potentials–ii.Annals of mathematics, 144(3):453–496, 1996
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance
Lipschitz L² stability estimates for OT maps in terms of 2-MK distance (and C^{1,α} under Hölder) plus explicit second variation of quadratic MK distance via Monge-Ampère linearization.