Sharp condition of global well-posedness for inhomogeneous nonlinear Schrödinger equation

DOI10.3934/dcdss.2021136zbMath1476.35251OpenAlexW3208921042MaRDI QIDQ2062968

Chao Yang

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021136

zbMATH Keywords

global existenceblowuppotential wellinhomogeneous nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

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• Global existence and blow up of solutions for the inhomogeneous nonlinear Schrödinger equation in \(\mathbb R^2\)
• Blow-up solutions of inhomogeneous nonlinear Schrödinger equations
• Instability of standing waves for nonlinear Schrödinger equations with inhomogeneous non\-linearities
• Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
• Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity

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