A Note on Sign-Changing Solutions to the NLS on the Double-Bridge Graph

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2019 Italy English Publisher:MDPI AGJournal:Symmetry, volume 11, page 161 (eissn: 2073-8994,

Copyright policy )Funded by:EC | IPaDEGAN

Authors: Noja, D; Rolando, S; Secchi, S;

doi: 10.3390/sym11020161

handle: 10281/223407

A Note on Sign-Changing Solutions to the NLS on the Double-Bridge Graph

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Abstract

We study standing waves of the NLS equation posed on the double-bridge graph: two semi-infinite half-lines attached at a circle. At the two vertices, Kirchhoff boundary conditions are imposed. We pursue a recent study concerning solutions nonzero on the half-lines and periodic on the circle, by proving some existing results of sign-changing solutions non-periodic on the circle.

Country

Italy

Related Organizations

University of Milano-Bicocca
Italy

Keywords

H2020 Marie Skłodowska-Curie Actions, Non-linear Schrödinger equation; Quantum graphs; Standing waves;, NLS equations (nonlinear Schrödinger equations), Non-linear Schrödinger equation; Quantum graphs; Standing waves; Computer Science (miscellaneous); Chemistry (miscellaneous); Mathematics (all); Physics and Astronomy (miscellaneous), quantum graphs, non-linear Schrödinger equation, PDEs on graphs and networks (ramified or polygonal spaces), Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, standing waves

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