Optimal decay rate for the local energy of a unbounded network

DOI10.1016/j.jde.2016.06.016zbMath1348.35286OpenAlexW2464411982MaRDI QIDQ305420

Mohamed Jellouli, Rachid Assel, Moez Khenissi

Publication date: 29 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.06.016

zbMATH Keywords

resolventresonancesenergy estimateD'Alembert formulalocal energy decaynetwork of strings

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Wave equation (35L05) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (6)

On the stability of a star-shaped network of variable coefficients strings under joint damping ⋮ Boundary stabilization for a star-shaped network of variable coefficients strings linked by a point mass ⋮ Spectrum of the wave equation with Dirac damping on a non-compact star graph ⋮ Energy decay for the damped wave equation on an unbounded network ⋮ Finite time stabilization of the waves on an infinite network ⋮ Spectrum of a non-selfadjoint quantum star graph

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