Final state problem for nonlinear Schrödinger equations with time-decaying harmonic oscillators

DOI10.1016/j.jmaa.2021.125292zbMath1476.35240arXiv2009.01526OpenAlexW3082400915MaRDI QIDQ2038183

Masaki Kawamoto

Publication date: 9 July 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.01526

zbMATH Keywords

long-range scatteringnonlinear scattering theoryfinal state problemtime-dependent harmonic oscillators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials ⋮ Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials

Cites Work

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• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
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• Unnamed Item

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