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Local and global existence of solutions for the Cauchy problem of a generalized Boussinesq equation
Authors:Ruying Xue
Institution:Department of Mathematics, Zhejiang University, Hangzhou 310028, Zhejiang, PR China
Abstract:We consider the local and global existence of solutions for a generalized Boussinesq equation uttuxx+uxxxx+(uk+1)xx=0, k>4, with initial data in some homogenous Besov-type space.
Keywords:Boussinesq equation  Existence  Well-posedness
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