The paper establishes an Aronson-Bénilan/Li-Yau estimate inside the JKO discretization of diffusion equations in low dimensions, giving time-step-uniform L^∞ density bounds via a maximum principle on the Hessian determinant of Brenier potentials.
q-moment measures and applications: a new approach via optimal transport.Journal of Convex Analysis, 28(4):1033–1052
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
An Aronson-B\'enilan / Li-Yau estimate in the JKO scheme in small dimension
The paper establishes an Aronson-Bénilan/Li-Yau estimate inside the JKO discretization of diffusion equations in low dimensions, giving time-step-uniform L^∞ density bounds via a maximum principle on the Hessian determinant of Brenier potentials.