Scattering for the 𝐿² supercritical point NLS

DOI10.1090/tran/8065zbMath1457.35064arXiv1904.09066OpenAlexW3002335061WikidataQ126302069 ScholiaQ126302069MaRDI QIDQ5141746

Reika Fukuizumi, Riccardo Adami, Justin Holmer

Publication date: 18 December 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09066

zbMATH Keywords

scatteringSchrödinger equationnonlinear point interaction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (7)

On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ 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 ⋮ A general review on the NLS equation with point-concentrated nonlinearity ⋮ Well–posedness of the three–dimensional NLS equation with sphere–concentrated nonlinearity ⋮ Critical exponent for global existence of solutions to the Schrödinger equation with a nonlinear boundary condition ⋮ Blow-up and scattering for the 1D NLS with point nonlinearity above the mass-energy threshold

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