On the global solvability of solutions to a quasilinear wave equation with localized damping and source terms.
Cabanillas Lapa, E., Huaringa Segura, Z., Leon Barboza, F. (2005)
Journal of Applied Mathematics
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Displaying similar documents to “A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations”
On the global solvability of solutions to a quasilinear wave equation with localized damping and source terms.
Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms
Mohammed Aassila (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.
Unique continuation and decay for the Korteweg-de Vries equation with localized damping
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...
Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation
Irena Lasiecka, Roberto Triggiani (2008)
Control and Cybernetics
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Stability of higher-level energy norms of strong solutions to a wave equation with localized nonlinear damping and a nonlinear source term
Irena Lasiecka, Daniel Toundykov (2007)
Control and Cybernetics
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Stabilization and control for the subcritical semilinear wave equation
Belhassen Dehman, Gilles Lebeau, Enrique Zuazua (2003)
Annales scientifiques de l'École Normale Supérieure
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On the nonlinear stabilization of the wave equation
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.