Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials

DOI10.2140/apde.2024.17.3371MaRDI QIDQ6650598

Xian Liao, Chang Yu Guo, Zihua Guo, Xing Cheng, Jia Shen

Publication date: 9 December 2024

Published in: Analysis \& PDE (Search for Journal in Brave)

zbMATH Keywords

scatteringSchrödinger equationprofile decompositiondispersive continuous resonant systempartial harmonic potentials

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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