The geometrical quantity in damped wave equations on a square

DOI10.1051/cocv:2006015zbMath1108.35105arXiv0706.0172OpenAlexW2148139631MaRDI QIDQ3416755

Pascal Hébrard, Emmanuel Humbert

Publication date: 22 January 2007

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0172

zbMATH Keywords

uniform stabilizationDamped wave equationmathematical billards

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)

Related Items (2)

Observability properties of the homogeneous wave equation on a closed manifold ⋮ Geometric and probabilistic results for the observability of the wave equation

Cites Work

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• Decay of solutions to nondissipative hyperbolic systems on compact manifolds
• The rate at which energy decays in a damped String
• The Spectrum of the Damped Wave Operator for a Bounded Domain inR²
• Asymptotic distribution of eigenfrequencies for damped wave equations

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