Global Well-Posedness for the Derivative Nonlinear Schrödinger Equation with Periodic Boundary Condition
Abstract We prove global well-posedness for the derivative nonlinear Schrödinger equation on the torus in the Sobolev space $H^{1}(\mathbb{T})$ provided that the mass of initial data is strictly less than $8\pi $.
Authors
- Galina Perelman
- Hajer Bahouri
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Est Créteil (FR)
- Sorbonne Université (FR)
- Laboratoire d’Analyse et de Mathématiques Appliquées (FR)
- Laboratoire Jacques-Louis Lions (FR)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-11-05
- DOI
- https://doi.org/10.1093/imrn/rnae243
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00