Global well-posedness for the derivative nonlinear Schrödinger equation in \(H^{\frac {1}{2}} (\mathbb{R})\). (English) Zbl 1359.35181
Authors’ abstract: We prove that the derivative nonlinear Schrödinger equation is globally well-posed in \(H^{\frac 12}(\mathbb{R})\) when the mass of initial data is strictly less than \(4\pi\).
Reviewer: Anthony D. Osborne (Keele)
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35B65 | Smoothness and regularity of solutions to PDEs |
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