The optimal mass transport problem for relativistic costs
type: Item
instance of: scholarly article
title: The optimal mass transport problem for relativistic costs
zbMATH Open document ID: 1287.49048
author: Jérôme Bertrand
author: Marjolaine Puel
published in: Calculus of Variations and Partial Differential Equations
publication date: 2013-02-01T00:00:00Z
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 6133427
zbMATH Keywords: optimal mass transport problem
zbMATH Keywords: relativistic costs
zbMATH Keywords: Kantorovich potential
zbMATH Keywords: relativistic heat equation
MaRDI profile type: Publication
full work available at URL: s00526-011-0485-9
OpenAlex ID: W2060473733
cites work: Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory
cites work: Q4424462
cites work: Q4428798
cites work: Q4954179
cites work: Existence of optimal transport maps for crystalline norms
cites work: Q4663947
cites work: Outer Minkowski content for some classes of closed sets
cites work: Existence and uniqueness of a solution for a parabolic quasilinear problem for linear growth functionals with \(L^1\) data.
cites work: Parabolic quasilinear equations minimizing linear growth functionals
cites work: Q5489502
cites work: A strongly degenerate quasilinear equation: the parabolic case
cites work: A strongly degenerate quasilinear elliptic equation
cites work: The Cauchy problem for a strongly degenerate quasilinear equation
cites work: Finite propagation speed for limited flux diffusion equations
cites work: Q3797433
cites work: Polar factorization and monotone rearrangement of vector‐valued functions
cites work: Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs
cites work: A proof of Sudakov theorem with strictly convex norms
cites work: A strategy for non-strictly convex transport costs and the example of \(\|x-y\|^p\) in \(\mathbb R^2\)
cites work: Convergence of the `relativistic' heat equation to the heat equation as \(c\to\infty\)
cites work: The Monge problem for strictly convex norms in \(\mathbb R^d\)
cites work: The Monge problem in \(\mathbb R^d\)
cites work: The $\infty$-Wasserstein Distance: Local Solutions and Existence of Optimal Transport Maps
cites work: Differential equations methods for the Monge-Kantorovich mass transfer problem
cites work: Q4870788
cites work: The geometry of optimal transportation
cites work: Optimal transportation for a quadratic cost with convex constraints and applications
cites work: The Variational Formulation of the Fokker--Planck Equation
cites work: Q5838558
cites work: Constructing a relativistic heat flow by transport time steps
cites work: Q3796879
cites work: Q5287551
cites work: Note on the optimal transportation of distributions
cites work: On the Monge mass transfer problem
cites work: Q4805362
DOI: 10.1007/S00526-011-0485-9
description: scientific article; zbMATH DE number 6133427