UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM

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In this work we are concerned with the existence of strong solutions andexponential decay of the total energy for the initial boundary value problem associatedwith the quasilinear wave equation with nonlinear source, under the assumption thatthe velocity boundary feedback is dissipative. The results...

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Detalles Bibliográficos
Autores: Cabanillas Lapa, Eugenio, Carrera Barrantes, Víctor Emilio, León Barboza, Félix, Bernui Barros, Juan Benito, Huaringa Segura, Zacarías Luis
Formato: artículo
Fecha de Publicación:2010
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Lenguaje:español
OAI Identifier:oai:ojs.csi.unmsm:article/9557
Enlace del recurso:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9557
Nivel de acceso:acceso abierto
Materia:Exponential decay
the unique continuation theorem.
Decaimiento exponencial
teorema de la continuación única.
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spelling UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERMUNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERMCabanillas Lapa, EugenioCarrera Barrantes, Víctor EmilioLeón Barboza, FélixBernui Barros, Juan BenitoHuaringa Segura, Zacarías LuisExponential decaythe unique continuation theorem.Decaimiento exponencialteorema de la continuación única.In this work we are concerned with the existence of strong solutions andexponential decay of the total energy for the initial boundary value problem associatedwith the quasilinear wave equation with nonlinear source, under the assumption thatthe velocity boundary feedback is dissipative. The results are proved by means ofthe potential well method, the multiplier technique and suitable unique continuationtheorem for the wave equation with variable coefficients.En este trabajo nos referiremos a la existencia de soluciones fuertes y decaimiento exponencial del total de energía para el problema de condiciones iniciales asociados con la ecuación de onda cuasi-lineal con una fuente no lineal, bajo el supuesto de que la velocidad en la frontera es disipativa. Los resultados son probado por el método de pozo de potencial, la técnica de multiplicadores adecuada y el teorema de la continuación única para la ecuación de onda con coeficientes variables.Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas2010-12-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/955710.15381/pes.v13i2.9557Pesquimat; Vol. 13 No. 2 (2010)Pesquimat; Vol. 13 Núm. 2 (2010)1609-84391560-912X10.15381/pes.v13i2reponame:Revistas - Universidad Nacional Mayor de San Marcosinstname:Universidad Nacional Mayor de San Marcosinstacron:UNMSMspahttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9557/8370Derechos de autor 2010 Eugenio Cabanillas Lapa, Víctor Emilio Carrera Barrantes, Félix León Barboza, Juan Benito Bernui Barros, Zacarías Luis Huaringa Segurahttps://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessoai:ojs.csi.unmsm:article/95572020-03-06T17:43:36Z
dc.title.none.fl_str_mv UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
title UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
spellingShingle UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
Cabanillas Lapa, Eugenio
Exponential decay
the unique continuation theorem.
Decaimiento exponencial
teorema de la continuación única.
title_short UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
title_full UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
title_fullStr UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
title_full_unstemmed UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
title_sort UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
dc.creator.none.fl_str_mv Cabanillas Lapa, Eugenio
Carrera Barrantes, Víctor Emilio
León Barboza, Félix
Bernui Barros, Juan Benito
Huaringa Segura, Zacarías Luis
author Cabanillas Lapa, Eugenio
author_facet Cabanillas Lapa, Eugenio
Carrera Barrantes, Víctor Emilio
León Barboza, Félix
Bernui Barros, Juan Benito
Huaringa Segura, Zacarías Luis
author_role author
author2 Carrera Barrantes, Víctor Emilio
León Barboza, Félix
Bernui Barros, Juan Benito
Huaringa Segura, Zacarías Luis
author2_role author
author
author
author
dc.subject.none.fl_str_mv Exponential decay
the unique continuation theorem.
Decaimiento exponencial
teorema de la continuación única.
topic Exponential decay
the unique continuation theorem.
Decaimiento exponencial
teorema de la continuación única.
description In this work we are concerned with the existence of strong solutions andexponential decay of the total energy for the initial boundary value problem associatedwith the quasilinear wave equation with nonlinear source, under the assumption thatthe velocity boundary feedback is dissipative. The results are proved by means ofthe potential well method, the multiplier technique and suitable unique continuationtheorem for the wave equation with variable coefficients.
publishDate 2010
dc.date.none.fl_str_mv 2010-12-31
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/9557
10.15381/pes.v13i2.9557
url https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9557
identifier_str_mv 10.15381/pes.v13i2.9557
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/9557/8370
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. 13 No. 2 (2010)
Pesquimat; Vol. 13 Núm. 2 (2010)
1609-8439
1560-912X
10.15381/pes.v13i2
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_ 1795238280220901376
score 13.949927
UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
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