English

Geometric optics and boundary layers for Nonlinear Schrodinger equations

Analysis of PDEs 2009-11-13 v1

Abstract

We justify supercritical geometric optics in small time for the defocusing semiclassical Nonlinear Schrodinger Equation for a large class of non-necessarily homogeneous nonlinearities. The case of a half-space with Neumann boundary condition is also studied.

Keywords

Cite

@article{arxiv.0804.1275,
  title  = {Geometric optics and boundary layers for Nonlinear Schrodinger equations},
  author = {D. Chiron and F. Rousset},
  journal= {arXiv preprint arXiv:0804.1275},
  year   = {2009}
}

Comments

44 pages

R2 v1 2026-06-21T10:28:50.000Z