Mathematical Research Letters

Volume 30 (2023)

Number 5

$H^s$ bounds for the derivative nonlinear Schrödinger equation

Pages: 1299 – 1333

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n5.a1

Authors

Hajer Bahouri (Laboratoire Jacques-Louis Lions, CNRS & Sorbonne Université, Paris, France)

Trevor M. Leslie (Illinois Institute of Technology, Chicago, Il., U.S.A.)

Galina Perelman (Laboratoire d’Analyse et de Mathématiques Appliquées, Université Paris-Est, Créteil, France)

Abstract

We study the derivative nonlinear Schrödinger equation on the real line and obtain global-in-time bounds on high order Sobolev norms.

Full Text (PDF format)

This material is based upon work supported by the National Science Foundation under Grant No. DMS-1928930 while the authors participated in a program hosted by the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2021 semester.

Received 26 July 2021

Received revised 1 October 2022

Accepted 16 November 2022

Published 14 May 2024