Scattering for wave equations with dissipative terms in layered media
Mitsuteru Kadowaki, Hideo Nakazawa, Kazuo Watanabe · DOAJ (DOAJ: Directory of Open Access Journals) · 2011
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.