Edge-localized states on quantum graphs in the limit of large mass-Reference-Cited by-同舟云学术

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Edge-localized states on quantum graphs in the limit of large mass

Published:2021-10 Issue:5 Volume:38 Page:1295-1335
ISSN:0294-1449
Container-title:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
language:
Short-container-title:Ann. Inst. H. Poincaré Anal. Non Linéaire

Author:

Pelinovsky Dmitry E.¹^ORCID,Berkolaiko Gregory²,Marzuola Jeremy L.³

Affiliation:

1. Department of Mathematics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada

2. Department of Mathematics, Texas A & M University, College Station, TX 77843-3368, USA

3. Department of Mathematics, University of North Carolina - Chapel Hill, Chapel Hill, NC 27599, USA

Funder

National Science Foundation

Natural Sciences and Engineering Research Council of Canada

Publisher

European Mathematical Society - EMS - Publishing House GmbH

Subject

Mathematical Physics,Analysis,Applied Mathematics

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs;Nonlinearity;2024-06-07

2. Singular limit of periodic metric grids;Advances in Mathematics;2024-05

3. Stability theory for two-lobe states on the tadpole graph for the NLS equation;Nonlinearity;2024-03-13

4. Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph;Partial Differential Equations and Applications;2024-02

5. Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs;Journal of Mathematical Analysis and Applications;2024-02

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