Dispersion for the Schrödinger equation on networks
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Publication:2849711
DOI10.1063/1.3629474zbMath1272.81079arXiv1103.0429OpenAlexW2091959213MaRDI QIDQ2849711
Liviu I. Ignat, Valeria Banica
Publication date: 24 September 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.0429
Trees (05C05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (16)
Dispersive effects for the Schrödinger equation on the tadpole graph ⋮ Optimal Mass Transport on Metric Graphs ⋮ Nonlinear Schrödinger equation on graphs: recent results and open problems ⋮ Ground state and orbital stability for the NLS equation on a general starlike graph with potentials ⋮ Breathers of discrete one-dimensional nonlinear Schrödinger equations in inhomogeneous media ⋮ Stationary nonlinear Schrödinger equation on simplest graphs ⋮ Constrained energy minimization and orbital stability for the NLS equation on a star graph ⋮ Spectral analysis of the Schrödinger operator on binary tree-shaped networks and applications ⋮ The first eigenvalue of the \(p-\)Laplacian on quantum graphs ⋮ On the Cauchy Problem and the Black Solitons of a Singularly Perturbed Gross--Pitaevskii Equation ⋮ Exponential stability for the nonlinear Schrödinger equation on a star-shaped network ⋮ Lack of Ground State for NLSE on Bridge-Type Graphs ⋮ Global regularity for the energy-critical NLS on \(\mathbb S^3\) ⋮ Variational properties and orbital stability of standing waves for NLS equation on a star graph ⋮ Dispersion for the 1-D Schrödinger equation with several Dirac potentials ⋮ The Schrödinger equation on a star-shaped graph under general coupling conditions
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