Geodesic
On the Stabilization of the Wave Equation by the Boundary
Serdica Mathematical Journal, Tome 28 (2002) no. 3, pp. 233-240

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We study the distribution of the (complex) eigenvalues for interior boundary value problems with dissipative boundary conditions in the case of C 1 -smooth boundary under some natural assumption on the behaviour of the geodesics. As a consequence we obtain energy decay estimates of the solutions of the corresponding wave equation.
Keywords: Complex Eigenvalues, Energy Decay 
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Cardoso, Fernando; Vodev, Georgi. On the Stabilization of the Wave Equation by the Boundary. Serdica Mathematical Journal, Tome 28 (2002) no. 3, pp. 233-240. http://geodesic.mathdoc.fr/item/SMJ2_2002_28_3_a4/