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[1] 

机构地区：[1]广东技术师范学院计算机科学学院,广州

出　　处：《应用数学进展》2013年第1期20-33,共14页Advances in Applied Mathematics

基　　金：国家自然科学基金(NO.11201086)的资助。

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。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.

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 

分 类 号：O1[理学—数学]