Modified scattering for higher-order nonlinear Hartree-type equations

DOI10.1007/s00033-021-01529-3zbMath1480.35355OpenAlexW3171122704MaRDI QIDQ2026394

Pavel I. Naumkin, Beatriz Juárez-Campos, Héctor Francisco Ruiz-Paredes

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01529-3

zbMATH Keywords

higher ordernonlinear Hartree equationfactorization techniquesmodified scattering

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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• The initial value problem for the cubic nonlinear Klein-Gordon equation
• Long range scattering for nonlinear Schrödinger equations in one space dimension
• Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• Long range scattering and modified wave operators for some Hartree type equations. II
• Analysis I. Integral presentations asymptotic methods
• On the modified scattering of 3-D Hartree type fractional Schrödinger equations with Coulomb potential
• Higher-order nonlinear Schrödinger equation in 2D case
• On the inhomogeneous fourth-order nonlinear Schrödinger equation
• Higher-order Schrödinger and Hartree–Fock equations
• The L 2 -Boundedness of Pseudodifferential Operators
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• A Class of Bounded Pseudo-Differential Operators

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