Scattering for the Gross-Pitaevskii equation

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dc.creatorGustafson, S.
dc.creatorNakanishi, K.
dc.creatorTsai, T. -P.
dc.date2005-10-04
dc.date.accessioned2026-07-07T06:20:53Z
dc.date.available2026-07-07T06:20:53Z
dc.descriptionWe investigate the asymptotic behavior at time infinity of solutions close to a non-zero constant equilibrium for the Gross-Pitaevskii (or Ginzburg-Landau Schroedinger) equation. We prove that, in dimensions larger than 3, small perturbations can be approximated at time infinity by the linearized evolution, and the wave operators are homeomorphic around 0 in certain Sobolev spaces.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0510080
dc.identifierhttp://arxiv.org/abs/math/0510080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95438
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q55;82D50
dc.titleScattering for the Gross-Pitaevskii equation
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