THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS

Descripción del Articulo

In this paper we consider the nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove global existence and exponential decay of solution. The result is achieved by considering energy like - Lyapunov functionals and suitable unique c...

Descripción completa

Detalles Bibliográficos
Autores: Muñoz Rivera, Jaime Edilberto, Cabanillas Lapa, Eugenio, Bernui Barros, Juan Benito
Formato: artículo
Fecha de Publicación:2006
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Lenguaje:español
OAI Identifier:oai:ojs.csi.unmsm:article/9393
Enlace del recurso:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9393
Nivel de acceso:acceso abierto
Materia:Transmission problem
wave equation
global existence.
Problema de transmisión
ecuación de la onda
existencia global.
id REVUNMSM_ef9d684708a794b6049cb61c9fda09d4
oai_identifier_str oai:ojs.csi.unmsm:article/9393
network_acronym_str REVUNMSM
network_name_str Revistas - Universidad Nacional Mayor de San Marcos
repository_id_str
spelling THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTSTHE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTSMuñoz Rivera, Jaime EdilbertoCabanillas Lapa, EugenioBernui Barros, Juan BenitoTransmission problemwave equationglobal existence.Problema de transmisiónecuación de la ondaexistencia global.In this paper we consider the nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove global existence and exponential decay of solution. The result is achieved by considering energy like - Lyapunov functionals and suitable unique continuation theorem for the wave equation.En este trabajo, consideramos el problema de transmisión no lineal para la ecuación de onda con coeficientes dependientes del tiempo y un damping lineal interno. Probamos la existencia global y el decaimiento exponencial de la solución. Los resultados son obtenidos por la consideración de funcionales tipo Lyapunov y un adecuado teorema de continuación única para la ecuación de onda.Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas2006-07-17info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/939310.15381/pes.v9i1.9393Pesquimat; Vol. 9 No. 1 (2006)Pesquimat; Vol. 9 Núm. 1 (2006)1609-84391560-912X10.15381/pes.v9i1reponame:Revistas - Universidad Nacional Mayor de San Marcosinstname:Universidad Nacional Mayor de San Marcosinstacron:UNMSMspahttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9393/8207Derechos de autor 2006 Jaime Edilberto Muñoz Rivera, Eugenio Cabanillas Lapa, Juan Benito Bernui Barroshttps://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessoai:ojs.csi.unmsm:article/93932020-03-08T14:50:14Z
dc.title.none.fl_str_mv THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
title THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
spellingShingle THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
Muñoz Rivera, Jaime Edilberto
Transmission problem
wave equation
global existence.
Problema de transmisión
ecuación de la onda
existencia global.
title_short THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
title_full THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
title_fullStr THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
title_full_unstemmed THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
title_sort THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
dc.creator.none.fl_str_mv Muñoz Rivera, Jaime Edilberto
Cabanillas Lapa, Eugenio
Bernui Barros, Juan Benito
author Muñoz Rivera, Jaime Edilberto
author_facet Muñoz Rivera, Jaime Edilberto
Cabanillas Lapa, Eugenio
Bernui Barros, Juan Benito
author_role author
author2 Cabanillas Lapa, Eugenio
Bernui Barros, Juan Benito
author2_role author
author
dc.subject.none.fl_str_mv Transmission problem
wave equation
global existence.
Problema de transmisión
ecuación de la onda
existencia global.
topic Transmission problem
wave equation
global existence.
Problema de transmisión
ecuación de la onda
existencia global.
description In this paper we consider the nonlinear transmission problem for the wave equation with time dependent coefficients and linear internal damping. We prove global existence and exponential decay of solution. The result is achieved by considering energy like - Lyapunov functionals and suitable unique continuation theorem for the wave equation.
publishDate 2006
dc.date.none.fl_str_mv 2006-07-17
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9393
10.15381/pes.v9i1.9393
url https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9393
identifier_str_mv 10.15381/pes.v9i1.9393
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9393/8207
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas
publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas
dc.source.none.fl_str_mv Pesquimat; Vol. 9 No. 1 (2006)
Pesquimat; Vol. 9 Núm. 1 (2006)
1609-8439
1560-912X
10.15381/pes.v9i1
reponame:Revistas - Universidad Nacional Mayor de San Marcos
instname:Universidad Nacional Mayor de San Marcos
instacron:UNMSM
instname_str Universidad Nacional Mayor de San Marcos
instacron_str UNMSM
institution UNMSM
reponame_str Revistas - Universidad Nacional Mayor de San Marcos
collection Revistas - Universidad Nacional Mayor de San Marcos
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1795238279629504512
score 13.871716
THE NON LINEAR TRANSMISSION PROBLEM WITH TIME DEPENDENT COEFFICIENTS
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).

Ejemplares Similares