Finite time stabilization of the waves on an infinite network

DOI10.1016/j.jmaa.2021.125303zbMath1469.35024OpenAlexW3158886394MaRDI QIDQ2038196

Rachid Assel, Mohamed Ghazel

Publication date: 9 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125303

zbMATH Keywords

homogeneous Dirichlet conditionsinfinite network of vibrating stringsunbounded network

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Strings (74K05) Initial-boundary value problems for second-order hyperbolic systems (35L53) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• Finite-time stabilization of a network of strings
• Optimal decay rate for the local energy of a unbounded network
• Energy decay for the damped wave equation on an unbounded network
• The expansion of a semigroup and a Riesz basis criterion
• Stabilization of string system with linear boundary feedback
• On the Spectrum of C 0 -Semigroups
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