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中文摘要：
利用Galerkin方法，研究一类N维非线性2孢阶的Boussinesq方程，给出方程在一定的初始条件及Dirichlet边界条件下系统的整体解的存在唯一性，以及解对初值的连续依赖性．
英文摘要：
The present paper is devoted to the investigation of a nonlinear high dimensional 2n-order Boussinesq equation with Diriehlet boundary conditions by means of the Galerkin method. Existence,uniqueness and continuous dependence upon data of a global solution are proved.
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