Low Regularity Global Solutions for the Focusing Mass-Critical NLS in $\mathbb{R}$

DOI10.1137/090774537zbMath1234.35249OpenAlexW2020602414MaRDI QIDQ3174605

Gui Xiang Xu, Yongsheng Li, Yifei Wu

Publication date: 11 October 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090774537

zbMATH Keywords

nonlinear Schrödinger equationglobal well-posednessBourgain space\(I\)-method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear evolution equations (47J35)

Related Items (3)

Global well-posedness for the mass-critical nonlinear Schrödinger equation on \(\mathbb T\) ⋮ Global well-posedness for Schrödinger equation with derivative in \(H^{\frac {1}{2}} (\mathbb R)\) ⋮ A trilinear estimate with application to the perturbed nonlinear Schrödinger equations with the Kerr law nonlinearity

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