Uniform stabilization of a coupled structural acoustic system by boundary dissipation.
Camurdan, Mehmet (1998)
Abstract and Applied Analysis
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Camurdan, Mehmet (1998)
Abstract and Applied Analysis
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Avalos, George (1996)
Abstract and Applied Analysis
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Lasiecka, I., Triggiani, R. (2003)
Abstract and Applied Analysis
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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...
Triggiani, R. (1996)
Abstract and Applied Analysis
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Li, Tong (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ademir Fernando Pazoto (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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This work is devoted to prove the exponential decay for the energy of solutions of the Korteweg-de Vries equation in a bounded interval with a localized damping term. Following the method in Menzala (2002) which combines energy estimates, multipliers and compactness arguments the problem is reduced to prove the unique continuation of weak solutions. In Menzala (2002) the case where solutions vanish on a neighborhood of both extremes of the bounded interval where equation holds was solved...
Louis Tebou (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a damped abstract second order evolution equation with an additional vanishing damping of Kelvin–Voigt type. Unlike the earlier work by Zuazua and Ervedoza, we do not assume the operator defining the main damping to be bounded. First, using a constructive frequency domain method coupled with a decomposition of frequencies and the introduction of a new variable, we show that if the limit system is exponentially stable, then this evolutionary system is uniformly − with respect...
Nicaise, Serge, Zaïr, Ouahiba (2003)
Portugaliae Mathematica. Nova Série
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Catherine Lebiedzik, Roberto Triggiani (2009)
Control and Cybernetics
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Patrick Martinez (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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