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On outgoing solutions for a system of time-harmonic elastic wave in the exterior of a star-shaped domain

dc.creatorCortés Vega, Luis A.
dc.creatorFernández, Claudio
dc.creatorPerla Menzala, Gustavo
dc.date2017-05-08
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1545
dc.identifier10.4067/S0716-09172006000200006
dc.descriptionIn 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.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1545/2407
dc.rightsCopyright (c) 2006 Proyecciones. Journal of Mathematicsen-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 25 No. 2 (2006); 205-229en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 25 Núm. 2 (2006); 205-229es-ES
dc.source0717-6279
dc.subjectExistence and uniqueness of outgoing solutionses-ES
dc.subjectlinear elastic wave equationes-ES
dc.subjectstar-shaped domaines-ES
dc.subjectlinear velocity boundary type conditionses-ES
dc.subjectresonanceses-ES
dc.subjectexistencia y unicidad de soluciones externases-ES
dc.subjectecuación de onda elástica lineal.es-ES
dc.titleOn outgoing solutions for a system of time-harmonic elastic wave in the exterior of a star-shaped domaines-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US


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