Electron. J. Differential Equations,
Vol. 2017 (2017), No. 163, pp. 1-10.
Vibrations modeled by the standard linear model
of viscoelasticity with boundary dissipation
Pedro Gamboa, Huy Hoang Nguyen, Octavio Vera, Veronica Poblete
Abstract:
We consider vibrations modeled by the standard linear solid model
of viscoelasticity with boundary dissipation. We establish the
well-posedness and the exponential stability.
Submitted November 16, 2016. Published July 4, 2017.
Math Subject Classifications: 35A01.
Key Words: Strongly continuous; infinitesimal generator; exponential stability;
boundary dissipation.
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Pedro Gamboa
Instituto de Matemática
Universidade Federal de Rio de Janeiro
Av. Athos da Silveira Ramos
P.O. Box 68530, CEP:21945-970, RJ, Brazil
email: pgamboa@im.ufrj.br
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Huy Hoang Nguyen
Instituto de Matemática and Campus de Xerém
Universidade Federal de Rio de Janeiro
Av. Athos da Silveira Ramos
P.O. Box 68530, CEP:21945-970, RJ. Brazil
email: nguyen@im.ufrj.br
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Octavio Vera
Departamento de Matemática
Universidad del Bío Bío
Collao 1202, Casilla 5-C, Concepción, Chile
email: overa@ubiobio.cl
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Verónica Poblete
Departamento de Matemática
Facultad de Ciencias, Universidad de Chile
Las Palmeras 3425, Ñuñoa, Santiago, Chile
email: vpoblete@uchile.cl
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