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Öğe Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation(Academic Press Inc Elsevier Science, 2009) Polat, Necat; Ertas, AbdulkadirWe consider the existence, both locally and globally in time, and the blow-up of solutions for the Cauchy problem of the generalized damped multidimensional Boussinesq equation. (C) 2008 Elsevier Inc. All rights reserved.Öğe Global existence and decay of solutions for the generalized bad Boussinesq equation(Zhejiang Univ, Editorial Committee Applied Mathematics, 2013) Taskesen, Hatice; Polat, Necat; Ertas, AbdulkadirIn this paper, we consider the global existence of solutions for the Cauchy problem of the generalized sixth order bad Boussinesq equation. Moreover, we show that the supremum norm of the solution decays algebraically to zero as (1 + t)(-(1/7)) when t approaches to infinity, provided the initial data are sufficiently small and regular.
