Calculus of Variations and Geometric Measure Theory
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Absolute continuity and summability of transport densities: simpler proofs and new estimates

Accepted Paper
(2009)

Author: Filippo Santambrogio
Journal: Calc. Var. Par. Diff. Eq. [MathSciNet]
Notes: In november I gave a talk in Pisa about this paper and when I said "the proof by De Pascale and Pratelli has this problem only: it is LONG", most of the people understood "WRONG". I'm very sorry, it was not what I meant. You can trust Gigi and Aldo, their proof works very well !!
Keywords: transport density, displacement interpolation
Abstract:

The paper presents some short proofs for transport density absolute continuity and Lp 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.[PS][PDF]

[BibTeX Entry]

Available Files:

simple@proof@revised.pdf

abstract.tex (abstract.ps, abstract.pdf)

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