Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph

DOI10.1007/s00028-020-00579-wzbMath1464.35308arXiv1909.11332OpenAlexW3023551721MaRDI QIDQ2021706

Kazuki Aoki, Takahisa Inui, Haruya Mizutani

Publication date: 27 April 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11332

zbMATH Keywords

nonlinear Schrödinger equationstar graphlong-range

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (2)

Failure of scattering for the NLSE with a point interaction in dimension two and three ⋮ Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition

Cites Work

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