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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 publié
External document link
http://hal.archives-ouvertes.fr/hal-00361141/en/
Date
2009
Journal name
Calculus of Variations and Partial Differential Equations
Volume
36
Number
3
Publisher
Springer
Pages
343-354
Publication identifier
Metadata
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Author(s)
Santambrogio, Filippo
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 / Keywords
Methods involving semicontinuity and convergence; Calculus of variations and optimal control; Optimization