一类退化椭圆型方程的边值问题解的存在性及唯一性  

Existence and Uniqueness of Solution for Boundary Value Problem for a Degenerate Elliptic Equation of the First Class

作　　者：田凤[1] 

机构地区：[1]广东工业大学数理系,广州510643

出　　处：《青岛海洋大学学报（自然科学版）》2000年第2期357-363,共7页Journal of Ocean University of Qingdao

摘　　要：运用逼近理论及矩阵理论证明 :如果一类退化椭圆型方程在非退化边界上满足第三边界条件 ,在退化边界上满足给定微商值 ,那么它的解是存在且唯一的。It is proved by using the function approximation theory and martrix theory that for a degenerate elliptic equation of the first class, if the third boundary value condition is satisfied at its nondegenerate boundary and the given derivative values are satisfied at its degenerate boundary, then its solution is existent and unique.

关 键 词：椭圆型方程 退化 边值问题 存在性 唯一性 解 

分 类 号：O175.25[理学—数学] O175.8[理学—基础数学]