Exponential stabilization for the nonlinear Schrödinger equation with localized damping

DOI10.1007/S10883-015-9270-YzbMath1318.35107OpenAlexW2072357014MaRDI QIDQ2352272

Fábio M. Amorin Natali

Publication date: 30 June 2015

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-015-9270-y

zbMATH Keywords

Schrödinger equationexponential decaysolution in \(L^2\)

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Remarks on the damped nonlinear Schrödinger equation ⋮ Exponential stability for the nonlinear Schrödinger equation with locally distributed damping ⋮ Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces ⋮ Exponential stability for the nonlinear Schrödinger equation on a star-shaped network ⋮ Stabilization of the higher order nonlinear Schrödinger equation with constant coefficients ⋮ Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation

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• Introduction to nonlinear dispersive equations

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