The $\infty$-Wasserstein distance: local solutions and existence of optimal transport maps

Thierry Champion; Luigi de Pascale; Petri Juutinen

doi:10.1137/07069938X

Journal Articles SIAM Journal on Mathematical Analysis Year : 2008

The $\infty$-Wasserstein distance: local solutions and existence of optimal transport maps

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Thierry Champion

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Institut de Mathématiques de Toulon - EA 2134

Luigi de Pascale

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Petri Juutinen

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Abstract

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Mathematics [math] Optimization and Control [math.OC]

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https://hal-univ-tln.archives-ouvertes.fr/hal-01288953

Submitted on : Tuesday, March 15, 2016-5:48:57 PM

Last modification on : Tuesday, December 7, 2021-3:16:02 PM

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hal-01288953 , version 1 (15-03-2016)

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HAL Id : hal-01288953 , version 1
DOI : 10.1137/07069938X

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Thierry Champion, Luigi de Pascale, Petri Juutinen. The $\infty$-Wasserstein distance: local solutions and existence of optimal transport maps. SIAM Journal on Mathematical Analysis, 2008, 40 (1), pp.1--20. ⟨10.1137/07069938X⟩. ⟨hal-01288953⟩

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The $\infty$-Wasserstein distance: local solutions and existence of optimal transport maps

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