Birkhoff normal form for the nonlinear Schrödinger equation

DOI10.4171/RLM/653zbMath1291.35338MaRDI QIDQ361769

Walter Craig, Alessandro Selvitella, Yun Wang

Publication date: 19 August 2013

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian PDEsnonlinear scattering theorynonlinear Schroedinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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• Global solutions for 2D quadratic Schrödinger equations
• A normal form for the Schrödinger equation with analytic non-linearities
• Scattering theory in the energy space for a class of nonlinear Schrödinger equations
• Analyticity of the scattering operator for semilinear dispersive equations