In this correction we prove that the first modified energy of the quintic Schrödinger equation in 1d has an inverse square decay with respect to a very large frequency parameter N, without using an argument presented in the paper  which contains a mistake, see errata . This estimate, when applied to the machinery that was developed in , gives global well-posedness for the initial value problem in question for any s > 1/3, as was claimed in .
- Global well-posedness
- Nonlinear Schrödinger equation
- Nonlinear dispersive equations
ASJC Scopus subject areas
- Applied Mathematics