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Summary: LABORATOIRE DE MATHEMATIQUES
UNIVERSITE PARIS-SUD CNRS
CENTRE D'ORSAY UMR 8628
ANALYSE NUMERIQUE
&
EQUATIONS AUX DERIVEES PARTIELLES
THE SPECTRUM OF THE DAMPED WAVE OPERATOR
FOR A BOUNDED DOMAIN IN R2
Mark Asch, Gilles Lebeau
RAPPORT TECHNIQUE N
RT 99-03
LABORATOIRE DE MATH ´EMATIQUES, UNIVERSIT ´E PARIS-SUD, B ^AT. 425, F-91405 ORSAY
CEDEX
Date: April, 1999.
THE SPECTRUM OF THE DAMPED WAVE OPERATOR FOR A BOUNDED
DOMAIN IN R2
MARK ASCH AND GILLES LEBEAU
ABSTRACT. The spectrum of the damped wave operator for a bounded domain in R2 is shown
to be related to the asymptotic average of the damping function by the geodesic flow. This
allows the calculation of an asymptotic expression for the distribution of the imaginary parts
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