Spectral enclosures for the damped elastic wave equation

[EN] In this paper we investigate spectral properties of the damped elastic wave equation. Deducing a correspondence between the eigenvalue problem of this model and the one of Lame operators with non self-adjoint perturbations, we provide quantitative bounds on the location of the point spectrum in...

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Detalles Bibliográficos
Autores: Cassano, Biagio, Cossetti, Lucrezia, Fanelli, Luca
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/56750
Acceso en línea:http://hdl.handle.net/10810/56750
Access Level:acceso abierto
Palabra clave:damped elastic wave equation
Lamé operators
non self-adjoint operators
spectral enclosures
Descripción
Sumario:[EN] In this paper we investigate spectral properties of the damped elastic wave equation. Deducing a correspondence between the eigenvalue problem of this model and the one of Lame operators with non self-adjoint perturbations, we provide quantitative bounds on the location of the point spectrum in terms of suitable norms of the damping coefficient.