Uniform stabilization of semilinear wave equations with localized internal damping and dynamic Wentzell boundary conditions with a memory term

DOI10.1007/s00033-019-1204-1zbMath1437.35097OpenAlexW2979326597WikidataQ127073217 ScholiaQ127073217MaRDI QIDQ2279189

Dandan Guo, Zhi-Fei Zhang

Publication date: 12 December 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1204-1

zbMATH Keywords

exponential stabilizationmultiplier methodsmemory termnumerical simulations, Liapunov functionalwave equations on manifolds

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order semilinear hyperbolic equations (35L71)

Related Items

Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping ⋮ General decay for semi-linear wave equations with memory term and logarithmic source ⋮ Longtime behavior of wave equation with kinetic boundary condition

Cites Work

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• Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects
• On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source
• Uniform stabilization of wave equation with localized internal damping and acoustic boundary condition with viscoelastic damping
• Generalized second order differential operators and their lateral conditions
• Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
• Continuous dependence on the boundary conditions for the Wentzell Laplacian
• Stability of parabolic problems with nonlinear Wentzell boundary conditions
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings
• Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions
• Stability estimates for nonlinear hyperbolic problems with nonlinear Wentzell boundary conditions
• Derivation and physical interpretation of general boundary conditions
• Uniform stabilization of wave equation with localized damping and acoustic boundary condition
• The parabolic differential equations and the associated semigroups of transformation
• Stabilisation frontière de problèmes de Ventcel
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Global Smooth Solutions of the Quasi-Linear Wave Equation with Internal Velocity Feedback
• Note on intrinsic decay rates for abstract wave equations with memory
• Nonlinear Differential Equations of Monotone Types in Banach Spaces