English

The initial-boundary value problem for the 1D nonlinear Schroedinger equation on the half-line

Analysis of PDEs 2007-05-23 v1

Abstract

We prove, by adapting the method of Colliander-Kenig (2002), local well-posedness of the initial-boundary value problem for the one-dimensional nonlinear Schroedinger equation on the half-line under low boundary regularity assumptions.

Keywords

Cite

@article{arxiv.math/0602152,
  title  = {The initial-boundary value problem for the 1D nonlinear Schroedinger equation on the half-line},
  author = {Justin Holmer},
  journal= {arXiv preprint arXiv:math/0602152},
  year   = {2007}
}

Comments

21 pages, no figures