Abstract
We show that the derivative nonlinear Schrodinger (DNLS) equation is globally well-posed in the weighted Sobolev space H2,2(R). Our result exploits the complete integrability of the DNLS equation and removes certain spectral conditions on the initial data required by our previous work, thanks to Zhou's analysis (Comm. Pure Appl. Math. 42:7 (1989), 895-938) on spectral singularities in the context of inverse scattering.
Original language | English |
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Pages (from-to) | 1539-1578 |
Number of pages | 40 |
Journal | Analysis and PDE |
Volume | 13 |
Issue number | 5 |
DOIs | |
State | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020 Mathematical Sciences Publishers.
Keywords
- Derivative nonlinear schrödinger
- Global well-posedness
- Inverse scattering
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Applied Mathematics