Exponential decay for the one-dimensional wave equation with internal pointwise damping

DOI<1171::AID-MMA907>3.0.CO;2-B 10.1002/(SICI)1099-1476(19970925)20:14<1171::AID-MMA907>3.0.CO;2-BzbMath0886.35088OpenAlexW2126257922MaRDI QIDQ4356413

Alexander Y. Khapalov

Publication date: 10 May 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19970925)20:14<1171::aid-mma907>3.0.co;2-b

zbMATH Keywords

uniform stabilizationcoupled strings

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items

Exponential stability of two strings under joint damping with variable coefficients, Stabilisation of an anti-stable joint string with boundary disturbance, Stabilization of a \(2 \times 2\) system of hyperbolic PDEs with recirculation in the unactuated channel, Uniform Stabilization of 1-D Coupled Wave Equations with Anti-dampings and Joint Delayed Control, Observability and stabilization of the vibrating string equipped with bouncing point sensors and actuators, Arbitrary decay rate for two connected strings with joint anti-damping by boundary output feedback, About the stability to Timoshenko system with pointwise dissipation

Cites Work

• Regularity with interior point control. II: Kirchhoff equations