Stabilization and regularity transmission of a Schrödinger equation through boundary connections with a Kelvin‐Voigt damped beam equation

DOI10.1002/zamm.201900013OpenAlexW2989672699MaRDI QIDQ6182521

Bao-Zhu Guo, Han-Jing Ren

Publication date: 25 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201900013

zbMATH Keywords

Schrödinger equationGevrey classbeam equationKelvin-Voigt damping

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Qualitative properties of solutions to partial differential equations (35Bxx) Stability of control systems (93Dxx)

Cites Work

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• Gevrey's and trace regularity of a semigroup associated with beam equation and non-monotone boundary conditions
• Semigroups of linear operators and applications to partial differential equations
• Asymptotic behavior of the eigenfrequencies of a one-dimensional linear thermoelastic system
• Bases of exponentials, cosines, and sines formed by eigenfunctions of differential operators
• Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
• Stabilization of the Euler-Bernoulli equation via boundary connection with heat equation
• Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
• Stability of an interconnected system of euler−bernoulli beam and heat equation with boundary coupling
• On Spectrum and Riesz basis property for one-dimensional wave equation with Boltzmann damping
• Generation of Gevrey class semigroup by non-selfadjoint Euler–Bernoulli beam model
• Stabilization and Gevrey Regularity of a Schrödinger Equation in Boundary Feedback With a Heat Equation
• Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½
• Riesz basis generation, eigenvalues distribution, and exponential stability for a Euler-Bernoulli beam with joint feedback control

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