Global well-posedness for the derivative nonlinear Schrödinger equation in L²(ℝ)

2022/04/26 by Benjamin Harrop‐Griffiths, Harrop-Griffiths, Benjamin, Rowan Killip +5
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2204.12548

Abstract

We prove that the derivative nonlinear Schrödinger equation in one space dimension is globally well-posed on the line in L²(ℝ), which is the scaling-critical space for this equation.

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