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
Type
Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00361141/en/Date
2009Journal name
Calculus of Variations and Partial Differential EquationsVolume
36Number
3Publisher
Springer
Pages
343-354
Publication identifier
Metadata
Show full item recordAuthor(s)
Santambrogio, FilippoAbstract (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 / Keywords
Methods involving semicontinuity and convergence; Calculus of variations and optimal control; OptimizationRelated items
Showing items related by title and author.
-
Santambrogio, Filippo (2009) Communication / Conférence
-
Carlier, Guillaume; Santambrogio, Filippo; de Pascale, Luigi (2010) Article accepté pour publication ou publié
-
Santambrogio, Filippo; Carlier, Guillaume; Galichon, Alfred (2010) Article accepté pour publication ou publié
-
Santambrogio, Filippo; Jimenez, Chloé; Carlier, Guillaume (2008) Article accepté pour publication ou publié
-
Oudet, Edouard; Santambrogio, Filippo (2011) Article accepté pour publication ou publié