SUBCRITICAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATION

DOI10.1142/S021919971100452XzbMath1231.35233OpenAlexW2043914690MaRDI QIDQ3110882

Nakao Hayashi, Pavel I. Naumkin

Publication date: 16 January 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021919971100452x

zbMATH Keywords

asymptotics of solutionsquadratic nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• 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
• Global existence of small analytic solutions to nonlinear Schrödinger equations
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Resonance and long time existence for the quadratic semilinear schrödinger equation
• Global existence of solutions for nonlinear schrödinger equations in one space dimension
• On some singular integral equations, I
• Global existence for a class of cubic nonlinear Schrödinger equations in one space dimension

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