Stability of a damped wave equation on an infinite star-shaped network

DOI10.3934/eect.2022024zbMath1504.35602OpenAlexW4226389670MaRDI QIDQ2106047

Amina Boukhatem, Ahmed Bchatnia

Publication date: 8 December 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2022024

zbMATH Keywords

asymptotic behaviorwave equationpolynomial stabilitystar-shaped network

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Control problems for functional-differential equations (34K35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (1)

Almost periodicity and stability for solutions to networks of beams with structural damping

Cites Work

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• Boundary feedback stabilization of a chain of serially connected strings
• Fine scales of decay of operator semigroups
• Stabilization of elastic systems by collocated feedback
• Energy decay for the damped wave equation on an unbounded network
• Introduction to spectral theory. With applications to Schrödinger operators
• Stabilization of star-shaped networks of strings.
• Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Optimal location of the actuator for the pointwise stabilization of a string
• Stability of Elastic Multi-Link Structures

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