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A Modica-Mortola approximation for branched transport

Abstract : The M^\alpha energy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures with prescribed divergence is approximated (and convergence is proved) by means of a sequence of elliptic energies, defined on more regular vector fields. The procedure recalls the Modica-Mortola one for approximating the perimeter, and the double-well potential is replaced by a concave power.
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https://hal.archives-ouvertes.fr/hal-00417461
Contributor : Filippo Santambrogio <>
Submitted on : Wednesday, September 16, 2009 - 1:17:24 AM
Last modification on : Tuesday, December 8, 2020 - 9:43:20 AM
Long-term archiving on: : Tuesday, June 15, 2010 - 11:43:13 PM

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  • HAL Id : hal-00417461, version 1
  • ARXIV : 0909.2930

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Filippo Santambrogio. A Modica-Mortola approximation for branched transport. 2009. ⟨hal-00417461⟩

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