Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\)

DOI10.1016/j.jde.2017.05.026zbMath1379.35294arXiv1608.06838OpenAlexW2963287935MaRDI QIDQ2013911

Răzvan O. Moşincat

Publication date: 10 August 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06838

zbMATH Keywords

conservation lawsderivative nonlinear Schrödinger equationglobal well-posedness

Mathematics Subject Classification ID

Related Items (11)

Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations ⋮ On the well-posedness problem for the derivative nonlinear Schrödinger equation ⋮ Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrödinger equation ⋮ On the lifespan of strong solutions to the periodic derivative nonlinear Schrödinger equation ⋮ Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case ⋮ Optimal local well-posedness for the periodic derivative nonlinear Schrödinger equation ⋮ Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line ⋮ On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below \(H^{1 / 2}(\mathbb{T})\) ⋮ Invariant measures for the periodic derivative nonlinear Schrödinger equation ⋮ Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation ⋮ Global attractor for weakly damped, forced mKdV equation in low regularity spaces

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