Global classical solutions to the Cauchy problem for a nonlinear wave equation.
Clark, Haroldo R. (1998)
International Journal of Mathematics and Mathematical Sciences
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Clark, Haroldo R. (1998)
International Journal of Mathematics and Mathematical Sciences
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Benaissa, Abbès, Mokeddem, Soufiane (2004)
Abstract and Applied Analysis
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Santos, M.L., Ferreira, J., Raposo, C.A. (2005)
Abstract and Applied Analysis
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Ghisi, Marina (2003)
Portugaliae Mathematica. Nova Série
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Limaco Ferrel, J., Medeiros, L.A. (1999)
Portugaliae Mathematica
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Aassila, Mohammed (1998)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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.
Leseduarte, M.C., Quintanilla, R. (2006)
Differential Equations & Nonlinear Mechanics
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Messaoudi, Salim A., Said-Houari, Belkacem (2004)
Journal of Applied Mathematics
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Santos, M.L., Soares, U.R. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Chen, Caisheng, Yao, Huaping, Shao, Ling (2010)
Journal of Inequalities and Applications [electronic only]
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