Mitsuteru Kadowaki, Hideo Nakazawa, Kazuo Watanabe
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.
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| Mitsuteru Kadowaki |
Department of Mechanical Engineering
Ehime University, 3 Bunkyo-cho
Matsuyama, 790-8577, Japan
| Hideo Nakazawa |
Department of Mathematics
Chiba Institute of Technology
Narashino, Chiba 275-0023, Japan
| Kazuo Watanabe |
Department of Mathematics, Gakushuin University
1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan
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