Edge-localized states on quantum graphs in the limit of large mass
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Publication:2046455
DOI10.1016/j.anihpc.2020.11.003zbMath1477.35230arXiv1910.03449OpenAlexW3108761837MaRDI QIDQ2046455
Jeremy L. Marzuola, Gregory Berkolaiko, Dmitry E. Pelinovsky
Publication date: 18 August 2021
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.03449
nonlinear Schrödinger equationexistence of energy minimizerslarge-mass asymptotic limitstanding waves on metric graphs
Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs on manifolds (35R01) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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