一类高阶n维非线性发展方程组的初边值问题

The Initial Boundary Value Problems for a Class of n-Dimensional Nonlinear Evolution Systems of Higher Order

摘要: 本文研究了一类高阶n维非线性波动方程组，通过解的先验估计，利用Galerkin方法和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。

Abstract: In this paper, we study a class of n-dimensional nonlinear wave system of high order by using the Galerkin method, Sobolev embedding theorem and prior estimate of solution, and prove the exis-tence and uniqueness of global strong solution to the initial boundary value problem.