Decay of solutions of some nonlinear equations.
Aassila, Mohammed (2003)
Portugaliae Mathematica. Nova Série
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Aassila, Mohammed (2003)
Portugaliae Mathematica. Nova Série
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Liu, Changchun (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mariana Haragus, Arnd Scheel (2006)
Annales de l'I.H.P. Analyse non linéaire
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Xinfu Chen, Jong-Shenq Guo, François Hamel, Hirokazu Ninomiya, Jean-Michel Roquejoffre (2007)
Annales de l'I.H.P. Analyse non linéaire
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Amin Esfahani (2014)
Applications of Mathematics
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In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.
B. Baji, A. Cabot, J. I. Díaz (2007)
Annales de l'I.H.P. Analyse non linéaire
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