Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space
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Publication:5003323
DOI10.1137/20M1322911zbMath1473.35520arXiv2003.00665MaRDI QIDQ5003323
Publication date: 21 July 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.00665
nonlinear Schrödinger equationglobal well-posednessweak turbulencebilinear estimateI-methodlow regularitydecoupling methodwaveguide manifold
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Scattering theory of linear operators (47A40) PDEs on manifolds (35R01)
Related Items (4)
On long time behavior of the focusing energy-critical NLS on \(\mathbb{R}^d\times\mathbb{T}\) via semivirial-vanishing geometry ⋮ Global Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide Manifolds ⋮ An asymptotic analysis and stability for a class of focusing Sobolev critical nonlinear Schrödinger equations ⋮ On scattering asymptotics for the 2D cubic resonant system
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