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

Jun Kitagawa

doi:10.1515/crelle.2012.001

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

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle.2012.001 ◽

2012 ◽

Vol 2012 (672) ◽

Author(s):

Jun Kitagawa

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Optimal Transportation Problem ◽

Parabolic Flow

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Extended Erratum to A parabolic flow toward solutions of the optimal transportation problem on domains with boundary (J. reine angew. Math. 672 (2012), 127–160)

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle-2021-0062 ◽

2021 ◽

Vol 2021 (781) ◽

pp. 207-209

Author(s):

Jun Kitagawa

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Optimal Transportation Problem ◽

Parabolic Flow

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Erratum to A parabolic flow toward solutions of the optimal transportation problem on domains with boundary (J. reine angew. Math. 672 (2012), 127–160)

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle-2019-0026 ◽

2020 ◽

Vol 2020 (760) ◽

pp. 165-167

Author(s):

Jun Kitagawa

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Optimal Transportation Problem ◽

Parabolic Flow

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The Optimal Transportation Problem

Lectures in Mathematics ETH Zürich - Gradient Flows ◽

10.1007/3-7643-7309-1_8 ◽

2005 ◽

pp. 133-149

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Optimal Transportation Problem

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Optimal transportation problem as stochastic mechanics

American Mathematical Society Translations: Series 2 - Selected Papers on Probability and Statistics ◽

10.1090/trans2/227/04 ◽

2009 ◽

pp. 75-94

Author(s):

Toshio Mikami

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Stochastic Mechanics ◽

Optimal Transportation Problem

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Regularity of Potential Functions of the Optimal Transportation Problem

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-005-0362-9 ◽

2005 ◽

Vol 177 (2) ◽

pp. 151-183 ◽

Cited By ~ 139

Author(s):

Xi-Nan Ma ◽

Neil S. Trudinger ◽

Xu-Jia Wang

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Potential Functions ◽

Optimal Transportation Problem

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Numerical solution of the Optimal Transportation problem using the Monge–Ampère equation

Journal of Computational Physics ◽

10.1016/j.jcp.2013.12.015 ◽

2014 ◽

Vol 260 ◽

pp. 107-126 ◽

Cited By ~ 74

Author(s):

Jean-David Benamou ◽

Brittany D. Froese ◽

Adam M. Oberman

Keyword(s):

Numerical Solution ◽

Transportation Problem ◽

Optimal Transportation ◽

Optimal Transportation Problem ◽

Monge Ampere

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8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem

Topological Optimization and Optimal Transport ◽

10.1515/9783110430417-009 ◽

2017 ◽

Author(s):

Jean-David Benamou ◽

Brittany D. Froese

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Optimal Transportation Problem ◽

Monge Ampere

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On the restriction of the optimal transportation problem to the set of martingale measures with uniform marginals

10.1063/1.5139152 ◽

2019 ◽

Author(s):

Jose Maria L. Escaner ◽

Daryl Allen Saddi ◽

Jorge Salazar

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Martingale Measures ◽

Optimal Transportation Problem

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An optimal transportation problem with a cost given by the Euclidean distance plus import/export taxes on the boundary

Revista Matemática Iberoamericana ◽

10.4171/rmi/778 ◽

2014 ◽

Vol 30 (1) ◽

pp. 277-308 ◽

Cited By ~ 9

Author(s):

José Mazón ◽

Julio Rossi ◽

Julián Toledo

Keyword(s):

Transportation Problem ◽

Euclidean Distance ◽

Optimal Transportation ◽

Export Taxes ◽

Optimal Transportation Problem

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The Optimal Transportation Problem

Gradient Flows ◽

10.1007/978-3-7643-8722-8_8 ◽

2008 ◽

pp. 133-150

Keyword(s):

Transportation Problem ◽

Optimal Transportation ◽

Optimal Transportation Problem

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