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- Title
ON OUTGOING FOR A SYSTEM OF TIME{HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR{SHAPED DOMAIN.
- Authors
CORTES, LUIS; FERNANDO, CLAUDIO; PERLA, GUSTAVO
- Abstract
In this work we consider the propagation of time-harmonic elastic waves outside of a star-shaped domain with a "linear velocity at the boundary". We describe a new approach to investigate results of existence and uniqueness for this exterior problem. To this end, we used a method similar to the one discussed in [11, 12] which has its genesis in [13] and relies on a stationary approach of resonances. The fundamental step of our approach is to reduce the unbounded nature of the problem to a bounded domain introducing an auxiliary boundary condition of Dirichlet type. In particular, we find a large region in the complex plane which is "free" of resonances.
- Subjects
ELASTIC wave scattering; HARMONIC functions; FERROMAGNETIC materials; MAGNETIC domain; EXTERIOR forms; BOUNDARY value problems; DIRICHLET problem; RESONANCE
- Publication
Proyecciones - Journal of Mathematics, 2006, Vol 25, Issue 2, p203
- ISSN
0716-0917
- Publication type
Article