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]](/style/ps.png)
![[PDF]](/style/pdf.png)
[BibTeX Entry]
Available Files:
simple@proof@revised.pdf
abstract.tex (abstract.ps, abstract.pdf)