Work

Global Well-Posedness for the Derivative Nonlinear Schrödinger Equation with Periodic Boundary Condition

Year: 2024

Type: article

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 $.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae243

Authors: Hajer Bahouri, Galina Perelman

Institutions: Centre National de la Recherche Scientifique, Sorbonne Université, Laboratoire Jacques-Louis Lions, Université Paris-Est Créteil, Laboratoire d’Analyse et de Mathématiques Appliquées

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4400801571

FWCI: 0.653

Cites: 34

Cited by: 1

Related to: 10