一类非线性双曲型方程的初边值问题  

Initial Boundary Value Problems for a Class of Nonlinear Hyperbolic Equation

作　　者：王艳萍[1] 刘瑛 

机构地区：[1]郑州航空工业管理学院基础部,郑州450005 [2]河南省交通学校基础部,郑州450052

出　　处：《南阳师范学院学报》2002年第2期10-16,共7页Journal of Nanyang Normal University

摘　　要：讨论了方程utt=uxxt+σ(ux) x 的混合初边值问题和第二边值问题 ,用Galerkin方法和紧性方法得到问题的整体广义解和整体古典解的存在性与唯一性。The initial boundary value problems of the equation u tt =u xxt +σ(u x) x are studied.By using Galerkin method and compactness argument, the existence and uniqueness of the generalized global solution and the classical global solution of the mixed initial-boundary value problem for the equation(1) are obtained. In the end,we prove the existence and uniqueness of the classical global solution of the second boundary value problem for the equation(1).

关 键 词：非线性双曲型方程 第二边界 混合边界 整体广义解 整体古典解 初边值 唯一性 Galerkim方法 紧性方法 存在性 

分 类 号：O175.27[理学—数学]