论椭圆型方程边值问题与变分问题的等价性  

Equivalence of Variation Problem to Boundary Value Problem of Elliptic Partial Differential Equation

作　　者：夏必腊[1] 王金山[1] 许道军[1] 

机构地区：[1]解放军陆军军官学院数学教研室,安徽合肥230031

出　　处：《佳木斯大学学报（自然科学版）》2012年第3期450-452,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：证明了椭圆型偏微分方程边值问题等价于一个泛函变分的极值问题,指出了将这类偏微分方程边值问题转换为等价的泛函变分极值问题后所带来的好处.It is proved that the Elliptic Partial Differential Equation with boundary value problem and the problem in the variation calculus are equivalent. The advantages of this kind of transformation was given.

关 键 词：椭圆型偏微分方程 边值问题 变分 极值 等价 

分 类 号：O175.8[理学—数学]