Asymptotics for wave equations with Wentzell boundary conditions and boundary damping

DOI10.1007/s00233-016-9779-8zbMath1382.35042OpenAlexW2289041256MaRDI QIDQ2362262

Chan Li, Ti-Jun Xiao

Publication date: 7 July 2017

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-016-9779-8

zbMATH Keywords

strong stabilityslow decay rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06)

Related Items (7)

General decay for a wave equation with Wentzell boundary conditions and nonlinear delay terms ⋮ Asymptotics for wave equations with damping only on the dynamical boundary ⋮ Boundary stabilization for wave equations with damping only on the nonlinear Wentzell boundary ⋮ Regularity and stability of wave equations with variable coefficients and Wentzell type boundary conditions ⋮ Uniform decay rate estimates for the 2D wave equation posed in an inhomogeneous medium with exponential growth source term, locally distributed nonlinear dissipation, and dynamic Cauchy–Ventcel–type boundary conditions ⋮ Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping ⋮ Uniform stabilization for the semilinear wave equation in an inhomogeneous medium with locally distributed nonlinear damping and dynamic Cauchy–Ventcel type boundary conditions

Cites Work

• Stabilization of the damped wave equation with Cauchy-Ventcel boundary conditions
• Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions
• Stabilization of a hybrid system of elasticity by feedback boundary damping
• Complete second order differential equations in Banach spaces with dynamic boundary conditions
• Stability estimates for nonlinear hyperbolic problems with nonlinear Wentzell boundary conditions
• Continuous dependence in hyperbolic problems with Wentzell boundary conditions
• Second order differential operators with Feller-Wentzell type boundary conditions
• The parabolic differential equations and the associated semigroups of transformation
• Stabilisation frontière de problèmes de Ventcel
• Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable
• Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem
• One-Parameter Semigroups for Linear Evolution Equations
• On the stabilization of a cable with a tip mass
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