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

Nicolas Champagnat; Pierre Emmanuel Jabin

doi:10.1080/03605301003646705

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

Nicolas Champagnat
, Pierre Emmanuel Jabin

Mathematics

Research output: Contribution to journal › Article › peer-review

22 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 H^3/4.

Original language	English (US)
Pages (from-to)	786-816
Number of pages	31
Journal	Communications in Partial Differential Equations
Volume	35
Issue number	5
DOIs	https://doi.org/10.1080/03605301003646705
State	Published - May 2010

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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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.",

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AU - Champagnat, Nicolas

AU - Jabin, Pierre Emmanuel

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AB - 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.

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JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

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

Abstract

All Science Journal Classification (ASJC) codes

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