Boundary stabilization of memory type for the porous-thermo-elasticity system.
Soufyane, Abdelaziz, Afilal, Mounir, Chacha, Mama (2009)
Abstract and Applied Analysis
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Soufyane, Abdelaziz, Afilal, Mounir, Chacha, Mama (2009)
Abstract and Applied Analysis
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Tcheugoué Tébou, L.R. (1998)
Portugaliae Mathematica
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Tcheugoué Tébou, L.R. (2004)
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Ma, Zhiyong (2010)
Advances in Difference Equations [electronic only]
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Ma, To Fu, Portillo Oquendo, Higidio (2006)
Boundary Value Problems [electronic only]
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De Lima Santos, Mauro (2002)
Abstract and Applied Analysis
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Nicaise, S. (2003)
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Benaissa, Abbès, Mimouni, Salima (2006)
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Feireisl, E., O'Dowd, G. (2000)
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Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)
Applications of Mathematics
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In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval with a tolerance level . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances...
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...