Absolute continuity and summability of transport densities: simpler proofs and new estimates

Santambrogio, Filippo
November 2009
Calculus of Variations & Partial Differential Equations;Nov2009, Vol. 36 Issue 3, p343
Academic Journal
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.


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