Necessary optimality conditions for geodesics in weighted Wasserstein spaces

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dc.creatorAmbrosio, Luigi
dc.creatorSantambrogio, Filippo
dc.date2006-03-17
dc.date.accessioned2026-07-07T07:07:02Z
dc.date.available2026-07-07T07:07:02Z
dc.descriptionThe geodesic problem in Wasserstein spaces with a metric perturbed by a conformal factor is considered, and necessary optimality conditions are estabilished in a case where this conformal factor favours the spreading of the probability measure along the curve. These conditions have the form of a system of PDEs of the kind of the compressible Euler equations. Moreover, self-similar solutions to this system are discussed.
dc.description19 pages, submitted
dc.identifierhttps://arxiv.org/abs/math/0603435
dc.identifierhttp://arxiv.org/abs/math/0603435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110242
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject49K20; 76N10
dc.titleNecessary optimality conditions for geodesics in weighted Wasserstein spaces
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