A note on resonant frequencies for a system of elastic wave equations
We present a rather simple proof of the existence of resonant frequencies for the direct scattering problem associated to a system of elastic wave equations with Dirichlet boundary condition. Our approach follows techniques similar to those in Cortés-Vega (2003). The proposed technique relies on a s...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204303248 |
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| _version_ | 1832566982505922560 |
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| author | Luis A. Cortés-Vega |
| author_facet | Luis A. Cortés-Vega |
| author_sort | Luis A. Cortés-Vega |
| collection | DOAJ |
| description | We present a rather simple proof of the existence of resonant
frequencies for the direct scattering problem associated to a
system of elastic wave equations with Dirichlet boundary
condition. Our approach follows techniques similar to those in
Cortés-Vega (2003). The proposed technique relies on a
stationary approach of resonant frequencies, that is, the poles of
the analytic continuation of the solution. |
| format | Article |
| id | doaj-art-af596edcd9024f2cb3b6c0cdf0590762 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-af596edcd9024f2cb3b6c0cdf05907622025-02-03T01:02:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004643485349810.1155/S0161171204303248A note on resonant frequencies for a system of elastic wave equationsLuis A. Cortés-Vega0Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, ChileWe present a rather simple proof of the existence of resonant frequencies for the direct scattering problem associated to a system of elastic wave equations with Dirichlet boundary condition. Our approach follows techniques similar to those in Cortés-Vega (2003). The proposed technique relies on a stationary approach of resonant frequencies, that is, the poles of the analytic continuation of the solution.http://dx.doi.org/10.1155/S0161171204303248 |
| spellingShingle | Luis A. Cortés-Vega A note on resonant frequencies for a system of elastic wave equations International Journal of Mathematics and Mathematical Sciences |
| title | A note on resonant frequencies for a system of elastic wave equations |
| title_full | A note on resonant frequencies for a system of elastic wave equations |
| title_fullStr | A note on resonant frequencies for a system of elastic wave equations |
| title_full_unstemmed | A note on resonant frequencies for a system of elastic wave equations |
| title_short | A note on resonant frequencies for a system of elastic wave equations |
| title_sort | note on resonant frequencies for a system of elastic wave equations |
| url | http://dx.doi.org/10.1155/S0161171204303248 |
| work_keys_str_mv | AT luisacortesvega anoteonresonantfrequenciesforasystemofelasticwaveequations AT luisacortesvega noteonresonantfrequenciesforasystemofelasticwaveequations |