Well posedness in any dimension for Hamiltonian flows with non BV force terms

Nicolas Champagnat, Pierre Emmanuel Jabin

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We study existence and uniqueness for the classical dynamics of a particle in a force field in the phase space. Through an explicit control on the regularity of the trajectories, we show that this is well posed if the force belongs to the Sobolev space H3/4.

Original languageEnglish (US)
Pages (from-to)786-816
Number of pages31
JournalCommunications in Partial Differential Equations
Volume35
Issue number5
DOIs
StatePublished - May 2010

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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