Optimal transport with convex obstacle

DOI10.1016/j.jmaa.2011.04.007zbMath1214.49041OpenAlexW1971632904MaRDI QIDQ541233

Pierre Cardaliaguet, Chloe Jimenez

Publication date: 6 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://basepub.dauphine.fr/handle/123456789/6922

zbMATH Keywords

Monge transport problemconvex obstacledynamic formulation

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimal stochastic control (93E20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (1)

Algorithm for Hamilton-Jacobi equations in density space via a generalized Hopf formula

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A proof of Sudakov theorem with strictly convex norms
• The Monge problem in \(\mathbb R^d\)
• The Monge problem for strictly convex norms in \(\mathbb R^d\)
• The Monge problem for supercritical Mañé potentials on compact manifolds
• Optimal mass transportation and Mather theory
• Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costs
• Monge’s transport problem on a Riemannian manifold
• Regularity of the Eikonal Equation with Neumann Boundary Conditions in the Plane: Application to Fronts with Nonlocal Terms
• An Optimization Problem for Mass Transportation with Congested Dynamics
• Polar factorization and monotone rearrangement of vector‐valued functions
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• Optimal Transport
• On the Monge mass transfer problem

This page was built for publication: Optimal transport with convex obstacle