The wave equation with oscillating density: observability at low frequency

Free access article

Issue		ESAIM: COCV Volume 5, 2000


Page(s)		219 - 258
DOI		10.1051/cocv:2000109

DOI: 10.1051/cocv:2000109

ESAIM: COCV, April 2000, Vol. 5, p. 219-258

The wave equation with oscillating density: observability at low frequency

Gilles Lebeau
Centre de Mathématiques, École Polytechnique, UMR 7640 du CNRS, 91128 Palaiseau Cedex, France; (lebeau@math.polytechnique.fr)

Received July 8, 1999. Revised March 6, 2000.

Abstract: We prove an observability estimate for a wave equation with rapidly oscillating density, in a bounded domain with Dirichlet boundary condition.

Keywords and phrases: Bloch wave, observability, microlocal defect measures.

AMS Subject Classification: 35L05, 35L20, 35S15, 93B07.

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