Weakly-damped focusing nonlinear Schrödinger equations with Dirichlet control

DOI10.1016/j.jmaa.2011.11.053zbMath1234.35253OpenAlexW2154231308MaRDI QIDQ663686

Türker Özsarı

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.053

zbMATH Keywords

compactness methodnonlinear Schrödinger equationmonotone operator theorydynamic extensionhidden regularityinhomogeneous Dirichlet boundary value

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Weak solutions to PDEs (35D30) PDEs in connection with control and optimization (35Q93)

Related Items (11)

The interior-boundary Strichartz estimate for the Schrödinger equation on the half-line revisited ⋮ Well-posedness and stability for Schrödinger equations with infinite memory ⋮ Stabilization of the weakly coupled Schrödinger system ⋮ Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications ⋮ Complex Ginzburg-Landau equations with dynamic boundary conditions ⋮ Exponential stability for the nonlinear Schrödinger equation with locally distributed damping ⋮ Well-posedness for nonlinear Schrödinger equations with boundary forces in low dimensions by Strichartz estimates ⋮ Blow-up criteria for linearly damped nonlinear Schrödinger equations ⋮ Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-line ⋮ Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation ⋮ Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation

Cites Work

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• A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
• An inhomogeneous boundary value problem for nonlinear Schrödinger equations
• Monotonicity method applied to the complex Ginzburg-Landau and related equations
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