Best Exponential Decay Rate of Energy for the Vectorial Damped Wave Equation

DOI10.1137/17M1142636zbMath1409.35030arXiv1707.07893OpenAlexW2734221871WikidataQ115525606 ScholiaQ115525606MaRDI QIDQ4684463

Guillaume Klein

Publication date: 1 October 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07893

zbMATH Keywords

stabilizationexponential decayoverdampinghigh frequency overdamping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic equations on manifolds (58J45) Second-order hyperbolic systems (35L51)

Related Items (5)

Spectral asymptotics for the vectorial damped wave equation ⋮ A study on damping rates and boundary feedback control in distributed parameter vibrating systems ⋮ Sharp exponential decay rates for anisotropically damped waves ⋮ On the observability inequality of coupled wave equations: the case without boundary ⋮ On the asymptotic stability of wave equations coupled by velocities of anti-symmetric type

Cites Work

• Microlocal defect measures
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• The rate at which energy decays in a damped String
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