Dispersive effects for the Schrödinger equation on the tadpole graph

DOI10.1016/j.jmaa.2016.10.060zbMath1357.35269arXiv1512.05269OpenAlexW2554290186MaRDI QIDQ2374227

Serge Nicaise, Felix Ali Mehmeti, Kaïs Ammari

Publication date: 14 December 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05269

zbMATH Keywords

Schrödinger operatordispersive estimatetadpole graph

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Schrödinger operator, Schrödinger equation (35J10) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (12)

Dispersion for Schrödinger operators on regular trees ⋮ Standing waves on quantum graphs ⋮ Numerical simulations on nonlinear quantum graphs with the GraFiDi library ⋮ Ground state and orbital stability for the NLS equation on a general starlike graph with potentials ⋮ Exact boundary controllability of the linear biharmonic Schrödinger equation with variable coefficients ⋮ Positive and negative exact controllability results for the linear biharmonic Schrödinger equation ⋮ Stability of propagation features under time-asymptotic approximations for a class of dispersive equations ⋮ Controllability of periodic bilinear quantum systems on infinite graphs ⋮ Exponential stability for the nonlinear Schrödinger equation on a star-shaped network ⋮ The Schrödinger equation on a star-shaped graph under general coupling conditions ⋮ Scale invariant effective Hamiltonians for a graph with a small compact core ⋮ Controllability of localised quantum states on infinite graphs through bilinear control fields

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