Scattering for the Gross-Pitaevskii equation
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0510080,
title = {Scattering for the Gross-Pitaevskii equation},
author = {S. Gustafson and K. Nakanishi and T. -P. Tsai},
journal= {arXiv preprint arXiv:math/0510080},
year = {2007}
}
Comments
13 pages