UNIFORM STABILIZATION OF A PLATE EQUATION WITH NONLINEAR LOCALIZED DISSIPATION

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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Main Authors: PAZOTO,ADEMIR F., COELHO,LUCICLÉIA, COIMBRA CHARAO,RUY
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2004
Online Access: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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