A parabolic flow toward solutions of the optimal transportation problem on domains with boundary

DOI10.1515/crelle.2012.001zbMath1257.35111arXiv1007.4526OpenAlexW2963334579MaRDI QIDQ3145927

Jun Kitagawa

Publication date: 17 December 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4526

zbMATH Keywords

cost functionnonlinear boundary conditionsfully nonlinear equationinitial and target domains

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) PDEs in connection with control and optimization (35Q93)

Related Items

When optimal transport meets information geometry, Exponential convergence of parabolic optimal transport on bounded domains, A convergence result on the second boundary value problem for parabolic equations, The Monge–Ampère equation and its link to optimal transportation, A Perturbative Approach to the Parabolic Optimal Transport Problem, The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations, Asymptotic analysis of domain decomposition for optimal transport, A note on global regularity in optimal transportion, Erratum to: ``A parabolic flow toward solutions of the optimal transportation problem on domains with boundary, Extended erratum to: ``A parabolic flow toward solutions of the optimal transportation problem on domains with boundary, Self-similar solutions to the Hesse flow, Global \(C^2 \)-estimates for smooth solutions to uniformly parabolic equations with Neumann boundary condition, On the second boundary value problem for Lagrangian mean curvature flow, Recent developments on the MTW tensor