Global existence of solutions for a subcritical nonlinear Schrödinger equation

DOI10.1016/J.NA.2014.05.019zbMath1294.35138OpenAlexW2013140020MaRDI QIDQ2509654

Nakao Hayashi, Pavel I. Naumkin

Publication date: 29 July 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.05.019

zbMATH Keywords

nonlinear Schrödinger equationglobal existencesubcritical case

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

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• Global existence for the cubic nonlinear Schrödinger equation in lower order Sobolev spaces.
• Long range scattering for nonlinear Schrödinger equations in one space dimension
• Modified wave operators for the derivative nonlinear Schrödinger equation
• Asymptotics for dissipative nonlinear equations
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• Global existence of solutions for nonlinear schrödinger equations in one space dimension

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