Polynomial energy decay of a wave-Schrödinger transmission system

DOI10.1186/S13661-018-0978-YzbMath1499.35563OpenAlexW2804073252MaRDI QIDQ2126365

Chengqiang Wang

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-0978-y

zbMATH Keywords

Green's functionsresolvent estimatepolynomial energy decaywave-Schrödinger transmission system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (1)

Stabilization of an interconnected system of Schrödinger and wave equations with boundary coupling

Cites Work

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• Transmission problem of Schrödinger and wave equation with viscous damping
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• Control of the Schrödinger equation
• Characterization of polynomial decay rate for the solution of linear evolution equation
• 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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