ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAIN

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 t...

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Autores principales:	CORTÉS,LUIS, FERNÁNDEZ,CLAUDIO, PERLA,GUSTAVO
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2006
Materias:	Existence and uniqueness of outgoing solutions linear elastic wave equation, star-shaped domain linear velocity boundary type conditions resonances
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200006
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spelling	oai:scielo:S0716-091720060002000062006-08-24ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAINCORTÉS,LUISFERNÁNDEZ,CLAUDIOPERLA,GUSTAVO Existence and uniqueness of outgoing solutions linear elastic wave equation, star-shaped domain linear velocity boundary type conditions resonances 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 resonancesinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.2 20062006-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200006en10.4067/S0716-09172006000200006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Existence and uniqueness of outgoing solutions linear elastic wave equation, star-shaped domain linear velocity boundary type conditions resonances
spellingShingle	Existence and uniqueness of outgoing solutions linear elastic wave equation, star-shaped domain linear velocity boundary type conditions resonances CORTÉS,LUIS FERNÁNDEZ,CLAUDIO PERLA,GUSTAVO ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAIN
description	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
author	CORTÉS,LUIS FERNÁNDEZ,CLAUDIO PERLA,GUSTAVO
author_facet	CORTÉS,LUIS FERNÁNDEZ,CLAUDIO PERLA,GUSTAVO
author_sort	CORTÉS,LUIS
title	ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAIN
title_short	ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAIN
title_full	ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAIN
title_fullStr	ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAIN
title_full_unstemmed	ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAIN
title_sort	on outgoing solutions for a system of time-harmonic elastic wave in the exterior of a star-shaped domain
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2006
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200006
work_keys_str_mv	AT cortesluis onoutgoingsolutionsforasystemoftimeharmonicelasticwaveintheexteriorofastarshapeddomain AT fernandezclaudio onoutgoingsolutionsforasystemoftimeharmonicelasticwaveintheexteriorofastarshapeddomain AT perlagustavo onoutgoingsolutionsforasystemoftimeharmonicelasticwaveintheexteriorofastarshapeddomain
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ON OUTGOING SOLUTIONS FOR A SYSTEM OF TIME-HARMONIC ELASTIC WAVE IN THE EXTERIOR OF A STAR-SHAPED DOMAIN

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