On the Cauchy problem of the nonlinear Schrödinger equation without gauge invariance

DOI10.1080/00036811.2018.1430776zbMath1416.35246OpenAlexW2793176356MaRDI QIDQ5379311

Yongsheng Li, Xiao-Long Wang, Yuan-Yuan Ren

Publication date: 28 May 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1430776

zbMATH Keywords

weak solutionnonlinear Schrödinger equationblow upnon-gauge invariance

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)

Cites Work

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• Some non-existence results for the semilinear Schrödinger equation without gauge invariance
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Lectures on the Inverse Scattering Transform
• A note on the lifespan of solutions to the semilinear damped wave equation

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