Nonlinear Schrödinger systems in 2d with nondecaying final data

DOI10.1016/J.JDE.2015.09.033zbMath1328.35211OpenAlexW1769920394MaRDI QIDQ890202

Pavel I. Naumkin, Nakao Hayashi, Chun-Hua Li

Publication date: 9 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.09.033

zbMATH Keywords

nonlinear Schrödinger systemsmodified wave operatornondecaying final data

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)

Related Items (4)

Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations ⋮ Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension ⋮ Critical nonlinear Schrödinger equations in higher space dimensions ⋮ On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D

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• Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance
• Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d
• Cauchy problem of nonlinear Schrödinger equation with initial data in Sobolev space 𝑊^{𝑠,𝑝} for 𝑝<2

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