Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 65, pp. 1-18.

Title: Scattering for wave equations with dissipative terms
       in layered media
       
Authors: Mitsuteru Kadowaki (Ehime Univ., Matsuyama, Japan)
         Hideo Nakazawa (Chiba Inst. of Tech., Chiba, Japan)
	 Kazuo Watanabe (Gakushuin Univ., Tokyo, Japan)

Abstract:
 In this article, we show the existence of scattering
 solutions to wave equations with dissipative terms in layered media.
 To analyze the wave propagation in layered media, it is necessary
 to handle singular points called thresholds in the spectrum.
 Our main tools are Kato's smooth perturbation theory and
 some approximate operators.

Submitted January 23, 2011. Published May 17, 2011.
Math Subject Classifications: 35P25, 47A40.
Key Words: Layered media; wave equation; dissipative terms;
           scattering; threshold; Kato's smooth perturbation.