Transmission problem of Schrödinger and wave equation with viscous damping

DOI10.1016/J.AML.2015.11.002zbMath1327.93228OpenAlexW2100182501MaRDI QIDQ899479

Lu Lu, Jun-Min Wang

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.11.002

zbMATH Keywords

transmissionSchrödinger equationviscous dampingspectral analysisstrong stabilityfeedback gain

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) General topics in linear spectral theory for PDEs (35P05) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20) Second-order hyperbolic equations (35L10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

Polynomial energy decay of a wave-Schrödinger transmission system ⋮ Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling ⋮ Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping ⋮ Explicit decay rate for coupled string-beam system with localized frictional damping ⋮ Spectral analysis for a wave/plate transmission system ⋮ Decay rates for 1-d mixed type II and type III thermoelastic system with localized viscous damping ⋮ Exact controllability of the interconnected Schrödinger and wave equations with a boundary control at the wave equation

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Asymptotic behavior of the eigenfrequencies of a one-dimensional linear thermoelastic system
• The transmission problem of viscoelastic waves
• Regularity of a Schrödinger equation with Dirichlet control and colocated observation
• Observability and Control of Schrödinger Equations
• Boundary Controllers and Observers for the Linearized Schrödinger Equation
• Exact Controllability for the Schrödinger Equation

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