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Nonlinear PDE’s and Applications

Volume 2028 of the series Lecture Notes in Mathematics pp 1-15

Date:

Transport Rays and Applications to Hamilton–Jacobi Equations

  • Stefano BianchiniAffiliated withSISSA Email author 
  • , Matteo GloyerAffiliated withSISSA

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Abstract

The aim of these notes is to introduce the readers to the use of the Disintegration Theorem for measures as an effective tool for reducing problems in transport equations to simpler ones. The basic idea is to partition Rd into one dimensional sets, on which the problem under consideration becomes one space dimensional (and thus much easier, hopefully).