Stabilization of the wave equations with potential and indefinite damping

DOI10.1016/S0022-247X(02)00062-8zbMath1004.35023MaRDI QIDQ1614688

Kangsheng Liu, Bopeng Rao, Zhang, X.

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

exponential decay rateenergy decay rateglobal Carleman-type inequalityupper bound estimate of the negative damping

Mathematics Subject Classification ID

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

Related Items (12)

Sharp exponential decay rates for anisotropically damped waves ⋮ Strong and Exponential Stabilization for a Class of Second Order Semilinear Systems ⋮ Exponential stability of Rayleigh beam equation on a star‐shaped network with indefinite damping ⋮ A note on stabilization of locally damped wave equations with time delay ⋮ Bresse system with indefinite damping ⋮ Exponential stability of wave equations with potential and indefinite damping ⋮ Timoshenko systems with indefinite damping ⋮ Exponential stability for wave equations with non-dissipative damping ⋮ On a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundaries ⋮ Asymptotic stability for Bresse systems ⋮ Exponential stability of the plate equations with potential of second order and indefinite damping ⋮ Porous-elasticity equations with indefinite damping

Cites Work

• Unnamed Item
• Stability results for the wave equation with indefinite damping
• Semigroups of linear operators and applications to partial differential equations
• On some eigenvalue problems related to the wave equation with indefinite damping
• Energy decay rate of wave equations with indefinite damping
• Explicit observability estimate for the wave equation with potential and its application
• Exponential Stability of an Abstract Nondissipative Linear System
• Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Stability estimates for ill-posed cauchy problems involving hyperbolic equations and inequalities

This page was built for publication: Stabilization of the wave equations with potential and indefinite damping