Multi-pulse edge-localized states on quantum graphs
DOI10.1007/s13324-021-00603-3zbMath1477.35242arXiv2105.11938OpenAlexW3204241121MaRDI QIDQ2243932
Dmitry E. Pelinovsky, Adilbek Kairzhan
Publication date: 11 November 2021
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.11938
Spectral theory and eigenvalue problems for partial differential equations (35P99) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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- Threshold phenomena and existence results for NLS ground states on metric graphs
- NLS ground states on graphs
- Negative energy ground states for the \(L^{2}\)-critical NLSE on metric graphs
- Stability theory of solitary waves in the presence of symmetry. I
- Multiple positive bound states for the subcritical NLS equation on metric graphs
- NLS bifurcations on the bowtie combinatorial graph and the Dumbbell metric graph
- Perturbation theory for linear operators.
- Standing waves of the quintic NLS equation on the tadpole graph
- Uniqueness and non-uniqueness of prescribed mass NLS ground states on metric graphs
- Edge-localized states on quantum graphs in the limit of large mass
- Least energy solutions to semi-linear elliptic problems on metric graphs
- Standing waves on a flower graph
- Algebraic and analytical tools for the study of the period function
- Quantum waveguides
- Ground State on the Dumbbell Graph
- Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph
- Nonlinear Schrödinger equation on graphs: recent results and open problems
- An index theorem for Schrödinger operators on metric graphs
- Linearized instability for nonlinear schrödinger and klein-gordon equations
- Peaked and Low Action Solutions of NLS Equations on Graphs with Terminal Edges
- Surgery principles for the spectral analysis of quantum graphs
- Ground state and orbital stability for the NLS equation on a general starlike graph with potentials
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