On scattering for the defocusing nonlinear Schrödinger equation on waveguide \(\mathbb{R}^m \times \mathbb{T}\) (when \(m = 2, 3)\)
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Publication:828310
DOI10.1016/J.JDE.2020.11.023zbMath1455.35244arXiv1712.01266OpenAlexW3109522511MaRDI QIDQ828310
Publication date: 8 January 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.01266
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Scattering theory of linear operators (47A40) PDEs on manifolds (35R01)
Related Items (8)
On long time behavior of the focusing energy-critical NLS on \(\mathbb{R}^d\times\mathbb{T}\) via semivirial-vanishing geometry ⋮ On the Global Well-Posedness for the Periodic Quintic Nonlinear Schrödinger Equation ⋮ Global Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide Manifolds ⋮ Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold ⋮ Global endpoint Strichartz estimates for Schrödinger equations on the cylinder \(\mathbb{R} \times \mathbb{T}\) ⋮ Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$ ⋮ Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space ⋮ On scattering asymptotics for the 2D cubic resonant system
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