UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION

We study the existence and uniqueness of a plate equation in a bounded domain of Rn, with a dissipative nonlinear term, localized in a neighborhood of part of the boundary of the domain. We use techniques from control theory, the unique continuation property and Nakao method to prove the uniform sta...

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Autores principales:	PAZOTO,ADEMIR F., COELHO,LUCICLÉIA, COIMBRA CHARAO,RUY
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2004
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000300002
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spelling	oai:scielo:S0716-091720040003000022005-02-03UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATIONPAZOTO,ADEMIR F.COELHO,LUCICLÉIACOIMBRA CHARAO,RUYWe study the existence and uniqueness of a plate equation in a bounded domain of Rn, with a dissipative nonlinear term, localized in a neighborhood of part of the boundary of the domain. We use techniques from control theory, the unique continuation property and Nakao method to prove the uniform stabilization of the energy of the system with algebraic decay rates depending on the order of the nonlinearity of the dissipative term.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.23 n.3 20042004-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000300002en10.4067/S0716-09172004000300002
institution	Scielo Chile
collection	Scielo Chile
language	English
description	We study the existence and uniqueness of a plate equation in a bounded domain of Rn, with a dissipative nonlinear term, localized in a neighborhood of part of the boundary of the domain. We use techniques from control theory, the unique continuation property and Nakao method to prove the uniform stabilization of the energy of the system with algebraic decay rates depending on the order of the nonlinearity of the dissipative term.
author	PAZOTO,ADEMIR F. COELHO,LUCICLÉIA COIMBRA CHARAO,RUY
spellingShingle	PAZOTO,ADEMIR F. COELHO,LUCICLÉIA COIMBRA CHARAO,RUY UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION
author_facet	PAZOTO,ADEMIR F. COELHO,LUCICLÉIA COIMBRA CHARAO,RUY
author_sort	PAZOTO,ADEMIR F.
title	UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION
title_short	UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION
title_full	UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION
title_fullStr	UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION
title_full_unstemmed	UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION
title_sort	uniform stabilization of a plate equation with nonlinear localized dissipation
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2004
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000300002
work_keys_str_mv	AT pazotoademirf uniformstabilizationofaplateequationwithnonlinearlocalizeddissipation AT coelholucicleia uniformstabilizationofaplateequationwithnonlinearlocalizeddissipation AT coimbracharaoruy uniformstabilizationofaplateequationwithnonlinearlocalizeddissipation
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UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION

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