arXiv:math/0510080 Abstract

arXiv:math/0510080 [math.AP]Abstract References Reviews Resources

Scattering for the Gross-Pitaevskii equation

Published 2005-10-04Version 1

We 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.

Comments: 13 pages

Categories: math.AP, math-ph, math.MP

Subjects: 35Q55, 82D50

Keywords: gross-pitaevskii equation, time infinity, non-zero constant equilibrium, solutions close, asymptotic behavior

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