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Bulletin of the London Mathematical Society 2004 36(3):383-395; doi:10.1112/S0024609303003035
© 2004 by London Mathematical Society
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© London Mathematical Society

Integral Estimates for Transport Densities

L. De Pascale, L. C. Evans and A. Pratelli

Dipartimento di Matematica Applicata, Università di Pisa 56126 Pisa, Italy depascal{at}dm.unipi.it
Department of Mathematics, University of California Berkeley, CA 94720, USA evans{at}math.berkeley.edu
Scuola Normale Superiore 56126 Pisa, Italy a.pratelli{at}sns.it

Received 8 November 2002. Revision received 19 June 2003.

The integration-by-parts methods introduced in this paper improve upon the Lp estimates on transport densities given in the recent paper by L. De Pascale and A. Pratelli (Calc. Var. Partial Differential Equations 14 (2002) 249–274). 2000 Mathematics Subject Classification 35Q99, 35B99.

The second author's research is supported in part by NSF Grant DMS-0070480 and by the Miller Institute for Basic Research in Science, UC Berkeley.


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