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

作者: 严 曼 , 肖黎明 :广东技术师范学院计算机科学学院,广州;

关键词: 非线性伪双曲方程组先验估计Galerkin方法Sobolev嵌入定理整体强解 Nonlinear Pseudo-Hyperbolic System Priori Estimate Galerkin Method Sobolev Imbedding Theorems The Global Strong Solutions

摘要:

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。

Abstract: 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.

文章引用: 严 曼 , 肖黎明 (2013) 一类高阶n维非线性伪双曲方程组的初边值问题。 应用数学进展, 2, 20-33. doi: 10.12677/AAM.2013.21004

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