Mitsuteru Kadowaki, Hideo Nakazawa, Kazuo Watanabe
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.
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Mitsuteru Kadowaki Department of Mechanical Engineering Ehime University, 3 Bunkyo-cho Matsuyama, 790-8577, Japan email: kadowaki.mitsuteru.mz@ehime-u.ac.jp |
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Hideo Nakazawa Department of Mathematics Chiba Institute of Technology 2-1-1 Shibazono Narashino, Chiba 275-0023, Japan email: nakazawa.hideo@it-chiba.ac.jp |
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Kazuo Watanabe Department of Mathematics, Gakushuin University 1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan email: kazuo.watanabe@gakushuin.ac.jp |
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