Absolute continuity and summability of transport densities: simpler proofs and new estimates
Santambrogio, Filippo (2009), Absolute continuity and summability of transport densities: simpler proofs and new estimates, Calculus of Variations and Partial Differential Equations, 36, 3, p. 343-354. http://dx.doi.org/10.1007/s00526-009-0231-8
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00361141/en/
Journal nameCalculus of Variations and Partial Differential Equations
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Abstract (EN)The paper presents some short proofs for transport density absolute continuity and L p estimates. Most of the previously existing results which were proven by geometric arguments are re-proved through a strategy based on displacement interpolation and on approximation by discrete measures; some of them are partially extended.
Subjects / KeywordsMethods involving semicontinuity and convergence; Calculus of variations and optimal control; Optimization
Showing items related by title and author.
Santambrogio, Filippo; Galichon, Alfred; Carlier, Guillaume (2010) Article accepté pour publication ou publié