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Scattering Frequencies and a Class of Perturbed Systems of Elastic Waves

✍ Scribed by Ruy Coimbra Charão; Gustavo Perla Menzala

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
684 KB
Volume
19
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by Y. Shibata

We consider the system of elastic waves in three dimensions under the presence of an impurity of the medium which we represent by a real-valued function q(x) (or q(x,t)). The medium is assumed to be isotropic and occupies the whole space = R3. We study the location of the scattering frequencies associated with such phenomenon. We conclude that there is a large region on the complex plane which is free of scattering frequencies. In the remaining region they are discrete provided that 4 satisfies suitable assumptions concerning its behaviour at infinity.

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