THE WAVE EQUATION ON A THIN DOMAIN: ENERGY DENSITY AND OBSERVABILITY

DOI10.1142/S0219891604000159zbMath1078.35063OpenAlexW1975153779WikidataQ115245277 ScholiaQ115245277MaRDI QIDQ5315533

Gilles A. Francfort, Patrick Gérard

Publication date: 8 September 2005

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

Full work available at URL: https://doi.org/10.1142/s0219891604000159

zbMATH Keywords

observabilitywave equationenergy densitymicrolocal measureslimit energy density

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Observability (93B07) Wave equation (35L05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Cites Work

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• Oscillations of concentration effects in semilinear dispersive wave equations
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques
• Oscillations and Energy Densities in the Wave Equation
• Homogenization limits and Wigner transforms
• The wave equation with oscillating density: observability at low frequency

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