Global existence and asymptotic behavior of solutions for some nonlinear hyperbolic equation.
Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Existence and asymptotic behavior of global solutions for a class of nonlinear higher-order wave equation.”
Global existence and asymptotic behavior of solutions for some nonlinear hyperbolic equation.
Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.
Ye, Yaojun (2010)
Advances in Difference Equations [electronic only]
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Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation.
Benaissa, Abbès, Mokeddem, Soufiane (2004)
Abstract and Applied Analysis
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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.
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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Global existence, uniqueness, and asymptotic behavior of solution for -Laplacian type wave equation.
Chen, Caisheng, Yao, Huaping, Shao, Ling (2010)
Journal of Inequalities and Applications [electronic only]
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On the strongly damped wave equation with nonlinear damping and source terms.
Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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A transmission problem for beams on nonlinear supports.
Ma, To Fu, Portillo Oquendo, Higidio (2006)
Boundary Value Problems [electronic only]
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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...