Asymptotic behavior of the nonlinear damped Schrödinger equation

DOI10.1090/PROC/14276zbMath1406.35359OpenAlexW2809033754MaRDI QIDQ4644460

Takahisa Inui

Publication date: 7 January 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14276

zbMATH Keywords

damped Schrödinger equationexponential scattering

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

Existence and nonexistence of global solutions for time-dependent damped NLS equations ⋮ Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping ⋮ Blow-up criteria for linearly damped nonlinear Schrödinger equations ⋮ Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system ⋮ Remark on Asymptotic Order for the Energy Critical Nonlinear Damped Wave Equation to the Linear Heat Equation via the Strichartz Estimates

Cites Work

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• A small initial data criterion of global existence for the damped nonlinear Schrödinger equation
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• Dimensionality and dissipation in Langmuir collapse

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