An optimal matching problem

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dc.creatorEkeland, Ivar
dc.date2003-08-21
dc.date.accessioned2026-07-07T05:00:33Z
dc.date.available2026-07-07T05:00:33Z
dc.descriptionGiven two measured spaces (X,dx), (Y,dy) and a third space Z, given two functions u(x,z) and v(x,z), we study the problem of finding two maps s from X to Z and t from Y to Z such that the images s(dx) and t(dy) coincide, and the integral of u(x,s(x))dx+v(y,t(y))dy is maximal. We give condition on u and v for which there is a unique solution.
dc.identifierhttps://arxiv.org/abs/math/0308206
dc.identifierhttp://arxiv.org/abs/math/0308206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68360
dc.subjectOptimization and Control
dc.subjectAnalysis of PDEs
dc.subject05C38, 15A15; Secondary 05A15, 15A18
dc.titleAn optimal matching problem
dc.typetext

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