Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: neutral modes

DOI10.3934/dcds.2016057zbMath1351.35187OpenAlexW2508950835MaRDI QIDQ325213

Diego Noja, Riccardo Adami, Cecilia Ortoleva

Publication date: 18 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016057

zbMATH Keywords

asymptotic stabilitystanding wavespoint interactionsnonlinear equations of Schrödinger type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (8)

Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect ⋮ Ground states for the planar NLSE with a point defect as minimizers of the constrained energy ⋮ Stability of the standing waves of the concentrated NLSE in dimension two ⋮ A general review on the NLS equation with point-concentrated nonlinearity ⋮ On global attraction to solitary waves for the Klein–Gordon equation with concentrated nonlinearity ⋮ Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity ⋮ On the standing waves of the Schrödinger equation with concentrated nonlinearity ⋮ On orbital instability of spectrally stable vortices of the NLS in the plane

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