English

Global solutions for 2D quadratic Schrodinger equations

Analysis of PDEs 2010-01-29 v1

Abstract

We prove global existence and scattering for a class of quadratic Schrodinger equations in dimension 2. The proof relies on the idea of space-time resonance.

Keywords

Cite

@article{arxiv.1001.5158,
  title  = {Global solutions for 2D quadratic Schrodinger equations},
  author = {Pierre Germain and Nader Masmoudi and Jalal Shatah},
  journal= {arXiv preprint arXiv:1001.5158},
  year   = {2010}
}

Comments

36 pages

R2 v1 2026-06-21T14:40:39.672Z