Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Partial reachability of a thermoelastic plate with memory

Authors: Pedro Gamboa, Vilmos Komornik and Octavio Vera
Journal: Quart. Appl. Math. 74 (2016), 235-243
MSC (2010): Primary 35A07; Secondary 35Q53
DOI: https://doi.org/10.1090/qam/1414
Published electronically: March 16, 2016
MathSciNet review: 3505602
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Abstract: We investigate the partial reachability of a thermoelastic plate with memory, a variant of a system studied earlier by Lagnese and Lions (1988) without memory. The well posedness of the system is established by transposition after having established the well posedness of the adjoint system by using Volterra equations and the Galerkin method. The partial reachability is deduced from classical theorems on Kirchhoff plates by a perturbation technique.

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Pedro Gamboa
Affiliation: Instituto de Matemática, Universidad Federal de Rio de Janeiro, Av. Athos da Silveira Ramos, P.O. Box 68530, CEP:21945-970, RJ, Brazil
Email: pgamboa@im.ufrj.br

Vilmos Komornik
Affiliation: Département de Mathématique, Université de Strasbourg, 7 rue René Descartes, 67084 Strasbourg Cedex, France
Email: vilmos.komornik@math.unistra.fr

Octavio Vera
Affiliation: Departamento de Matemática, Universidad del Bío Bío, Collao 1202, Casilla 5-C, Concepción, Chile
Email: overa@ubiobio.cl

DOI: https://doi.org/10.1090/qam/1414
Received by editor(s): August 10, 2014
Published electronically: March 16, 2016
Additional Notes: Part of this work was done during the visit of the second author at the Mathematical Institute of the Federal University of Rio de Janeiro in February 2014. He thanks the institute for its hospitality.
The third author is thankful for the support of Fondecyt projects 1121120.
Article copyright: © Copyright 2016 Brown University

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