Uniform boundary stabilization of a thermoelastic bar with a nonlinear weak damping
Mohammed Aassila (1999)
Colloquium Mathematicae
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Mohammed Aassila (1999)
Colloquium Mathematicae
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Thomas C. Sideris (1995)
Journées équations aux dérivées partielles
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Viorel Barbu, Irena Lasiecka, Mohammad Rammaha (2005)
Control and Cybernetics
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Hajer Bahouri, Jalal Shatah (1998)
Annales de l'I.H.P. Analyse non linéaire
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Louis Tebou (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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First, we consider a semilinear hyperbolic equation with a locally distributed damping in a bounded domain. The damping is located on a neighborhood of a suitable portion of the boundary. Using a Carleman estimate [Duyckaerts, Zhang and Zuazua, Ann. Inst. H. Poincaré Anal. Non Linéaire (to appear); Fu, Yong and Zhang, SIAM J. Contr. Opt. 46 (2007) 1578–1614], we prove that the energy of this system decays exponentially to zero as the time variable goes to infinity. Second, relying on...
Aissa Guesmia (1998)
Annales Polonici Mathematici
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We obtain a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with nonlinear internal and boundary feedbacks. We show that a judicious choice of the feedbacks leads to fast energy decay.
Otto Liess (1989)
Journées équations aux dérivées partielles
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Gustavo Perla Menzala (1984)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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