Exponential decay of eigenfunctions of Schrödinger operators on infinite metric graphs

DOI10.1080/17476933.2016.1254204zbMath1379.34032OpenAlexW2556056638WikidataQ115549547 ScholiaQ115549547MaRDI QIDQ5281691

Setenay Akduman, Alexander A. Pankov

Publication date: 26 July 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1254204

zbMATH Keywords

Schrödinger operatoreigenfunctionexponential decaymetric graph

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (5)

Unnamed Item ⋮ Nonlinear Schrödinger equations on periodic metric graphs ⋮ On the eigenvalues for a weighted p-Laplacian operator on metric graphs ⋮ Solitary waves on nonlocal Fermi-Pasta-Ulam lattices: exponential localization ⋮ Elliptic differential operators on infinite graphs with general conditions on vertices

Cites Work

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• Functional analysis, Sobolev spaces and partial differential equations
• Schrödinger semigroups
• Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian
• Schrödinger operators with locally integrable potentials on infinite metric graphs
• Quantum graphs: I. Some basic structures
• Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs

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