Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions

DOI10.1016/j.jde.2011.11.007zbMath1243.35112OpenAlexW2000582825MaRDI QIDQ765959

Jin Liang, Ti-Jun Xiao

Publication date: 22 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.11.007

zbMATH Keywords

hyperbolic equationsevolution systemgeneralized Wentzell boundary conditionsuniform exponential decayNonautonomousoperator theoretic approach

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)

Related Items (11)

Asymptotics for wave equations with Wentzell boundary conditions and boundary damping ⋮ Asymptotics for wave equations with damping only on the dynamical boundary ⋮ A note on the IBVP for wave equations with dynamic boundary conditions ⋮ Abstract elliptic equations with integral boundary conditions ⋮ 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 stabilization for a string/point mass system via arbitrary local memory effects versus frictional damping ⋮ Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping ⋮ Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions ⋮ Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping ⋮ Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces

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