Optimal Transportation and Monge-Ampère Equations

Applied Partial Differential Equations ◽

10.1007/978-3-540-34646-3_9 ◽

2007 ◽

pp. 129-147

Keyword(s):

Optimal Transportation ◽

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REGULARITY OF MONGE–AMPÈRE EQUATIONS IN OPTIMAL TRANSPORTATION

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972710001930 ◽

2011 ◽

Vol 83 (1) ◽

pp. 173-176 ◽

Author(s):

JIAKUN LIU

Keyword(s):

Optimal Transportation ◽

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On Monge–Ampère type equations arising in optimal transportation problems

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-006-0045-x ◽

2006 ◽

Vol 28 (3) ◽

pp. 275-316 ◽

Author(s):

Cristian E. Gutiérrez ◽

Truyen van Nguyen

Keyword(s):

Optimal Transportation ◽

Transportation Problems ◽

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The Monge–Ampère equation and its link to optimal transportation

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-2014-01459-4 ◽

2014 ◽

Vol 51 (4) ◽

pp. 527-580 ◽

Author(s):

Guido De Philippis ◽

Alessio Figalli

Keyword(s):

Optimal Transportation ◽

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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 ◽

Author(s):

Jean-David Benamou ◽

Brittany D. Froese ◽

Adam M. Oberman

Keyword(s):

Numerical Solution ◽

Transportation Problem ◽

Optimal Transportation ◽

Optimal Transportation Problem ◽

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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 ◽

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Weak Solutions of Monge-Ampére Type Equations in Optimal Transportation

Acta Mathematica Scientia ◽

10.1016/s0252-9602(13)60054-5 ◽

2013 ◽

Vol 33 (4) ◽

pp. 950-962 ◽

Author(s):

Feida JIANG ◽

Xiaoping YANG

Keyword(s):

Weak Solutions ◽

Optimal Transportation ◽

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A Perturbation Argument for a Monge–Ampère Type Equation Arising in Optimal Transportation

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-013-0709-6 ◽

2014 ◽

Vol 212 (2) ◽

pp. 359-414 ◽

Author(s):

Luis Caffarelli ◽

María del Mar González ◽

Truyen Nguyen

Keyword(s):

Type Equation ◽

Optimal Transportation ◽

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On the second boundary value problem for Monge-Ampère type equations and optimal transportation

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE ◽

10.2422/2036-2145.2009.1.07 ◽

2009 ◽

pp. 143-174 ◽

Author(s):

Neil S. Trudinger ◽

Xu-Jia Wang

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Optimal Transportation ◽

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The Monge Ampere equation and optimal transportation

Recent Advances in the Theory and Applications of Mass Transport - Contemporary Mathematics ◽

10.1090/conm/353/06430 ◽

2004 ◽

pp. 43-52

Author(s):

Luis A. Caffarelli

Keyword(s):

Optimal Transportation ◽

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The Monge-Ampère Equation and Optimal Transportation, an elementary review

Optimal Transportation and Applications - Lecture Notes in Mathematics ◽

10.1007/978-3-540-44857-0_1 ◽

2003 ◽

pp. 1-10 ◽

Author(s):

Luis A. Caffarelli

Keyword(s):

Optimal Transportation ◽

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