On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension

DOI10.14492/hokmj/1351001467zbMath0921.35163OpenAlexW2014722900MaRDI QIDQ1277031

Pavel I. Naumkin, Nakao Hayashi, Elena I. Kaikina

Publication date: 11 April 1999

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1351001467

zbMATH Keywords

Cauchy problemscatteringnonlinear Schrödinger equationdecay estimatesubcritical nonlinearitiesasymptotic behaviour for large time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

Gevrey-modulation spaces and smoothing effect for the nonlinear Schrödinger equations ⋮ Unnamed Item ⋮ Nonlinear Schrödinger equations with exceptional potentials ⋮ The matrix nonlinear Schrödinger equation with a potential ⋮ Large time behavior of small solutions to subcritical derivative nonlinear Schrödinger equations ⋮ Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions ⋮ Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential ⋮ Modified scattering for the mixed initial-boundary problem for the nonlinear Klein–Gordon equation ⋮ Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential ⋮ Modified scattering for the higher-order nonlinear Schrödinger equation with the Hartree-type nonlinearity

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