一类高阶n维非线性伪双曲方程组的初边值问题

The Initial Boundary Value Problems for a Class of Multidimensional Nonlinear Pseudo-Hyperbolic System of Higher Order

本文研究了一类高阶n维非线性伪双曲方程组,利用Galerkin方法,通过解的先验估计,结合Sobolev嵌入定理,证明了初边值问题整体强解的存在性和唯一性。

In this paper, the initial boundary value problems for a class of multidimensional nonlinear pseudo- hyperbolic system of higher order have been studied by Galerkin method, combining with the priori estimate of solution and Sobolev imbedding theorems, the existence and uniqueness of the global strong solution have been proved.