Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions

DOI10.1007/s00033-018-0996-8zbMath1415.35205OpenAlexW2883466142MaRDI QIDQ1990736

Chan Li, Jin Liang, Ti-Jun Xiao

Publication date: 25 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00033-018-0996-8

zbMATH Keywords

nonlinear forcenonlinear boundary dampinguniform decay ratenonautonomous localized dampingvanishing localized dampings

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)

Related Items (8)

Asymptotics for wave equations with damping only on the dynamical boundary ⋮ Regularity and stability of wave equations with variable coefficients and Wentzell type boundary conditions ⋮ Uniform stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ Long-term dynamical behavior of the wave model with locally distributed frictional and viscoelastic damping ⋮ Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping ⋮ Polynomial decay rate for dissipative wave equations with mixed boundary conditions ⋮ Uniform stabilization of semilinear wave equations with localized internal damping and dynamic Wentzell boundary conditions with a memory term

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