标题:
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
作者:
刘杰, 肖黎明
关键字:
非线性波动方程组, 先验估计, Galerkin方法, Sobolev嵌入定理, 整体强解Nonlinear Wave System, Prior Estimate, Galerkin Method, Sobolev Embedding Theorem, The Global Strong Solution
期刊名称:
《Advances in Applied Mathematics》, Vol.4 No.1, 2015-02-15
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。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.