English

Scattering and small data completeness for the critical nonlinear Schroediger equation

Analysis of PDEs 2009-11-11 v1 Mathematical Physics math.MP

Abstract

We prove Asymptotic Completeness of one dimensional NLS with long range nonlinearities. We also prove existence and expansion of asymptotic solutions with large data at infinity.

Keywords

Cite

@article{arxiv.math/0602571,
  title  = {Scattering and small data completeness for the critical nonlinear Schroediger equation},
  author = {Hans Lindblad and Avy Soffer},
  journal= {arXiv preprint arXiv:math/0602571},
  year   = {2009}
}