On Schrödinger systems with cubic dissipative nonlinearities of derivative type
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Publication:2811974
DOI10.1088/0951-7715/29/5/1537zbMath1338.35411arXiv1507.07617OpenAlexW3104386189MaRDI QIDQ2811974
Publication date: 9 June 2016
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.07617
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (15)
Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension. II ⋮ The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension ⋮ Large time behavior of solutions to the critical dissipative nonlinear Schrödinger equation with large data ⋮ Asymptotic behavior for solutions to the vector nonlinear Schrödinger equations ⋮ \(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equations ⋮ \(L^2\)-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey class ⋮ Asymptotic behavior for a class of derivative nonlinear Schrödinger systems ⋮ On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D ⋮ Modified scattering and beating effect for coupled Schrödinger systems on product spaces with small initial data ⋮ Dissipative nonlinear Schrödinger equations for large data in one space dimension ⋮ On the derivative nonlinear Schrödinger equation with weakly dissipative structure ⋮ On Agemi-type structural conditions for a system of semilinear wave equations ⋮ Lower bound estimate for the dissipative nonlinear Schrödinger equation ⋮ Upper and lower \(L^2\)-decay bounds for a class of derivative nonlinear Schrödinger equations ⋮ Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials
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