## 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
Scattering Frequencies for a Perturbed System of Elastic Wave Equations
✍ Scribed by M.A Astaburuaga; R.Coimbra Charao; C Fernández; G.Perla Menzala
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 244 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
We present various results on the existence and location of resonances for a perturbed system of elastic wave equations, for perturbations which are independent of time and also for those that are periodic functions of time. We also establish the continuous dependence of the resonances on parameters and on the perturbation.
📜 SIMILAR VOLUMES
Scattering of elastic wave on two collinear cylindrical inclusions is considered. Analysis is restricted by the case of normal incidence. Inclusions are thin; the aspect ratio is small. The length of the incident wave is comparable with the length of inclusion, and the distance between them. Inclusi
## Abstract In this article the analytic and asymptotic properties of the resolvent for elastic waves in a three dimensional domain perturbed from the isotropic half space **R**^3^~+~ are studied. In this case, the asymptotic expansion of the resolvent at the origin has logarithmic terms. This prop