Scattering for solutions of a dissipative nonlinear Schrödinger equation

DOI10.1016/j.jde.2018.10.016zbMath1410.35200OpenAlexW2897737834MaRDI QIDQ1720291

Gaku Hoshino

Publication date: 8 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.10.016

zbMATH Keywords

short-range scatteringdissipative nonlinear Schrödinger equations

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractional partial differential equations (35R11)

Related Items (7)

Optimal \(L^2\)-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity ⋮ Asymptotic behavior for solutions to the vector nonlinear Schrödinger equations ⋮ Space-time Gevrey smoothing effect for the dissipative nonlinear Schrödinger equations ⋮ Optimal \(L^2\)-decay of solutions to the dissipative nonlinear Schrödinger equation in higher space dimensions ⋮ Asymptotic behavior for solutions to the dissipative nonlinear Schrödinger equations with the fractional Sobolev space ⋮ Lower bound estimate for the dissipative nonlinear Schrödinger equation ⋮ Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials

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