一类高阶椭园型方程谱的带权估计  

Weighted Estimates of Eigenvalues for a Class of Elliptic Equations with Higher Orders

作　　者：黄振明[1] 

机构地区：[1]苏州市职业大学基础部,江苏苏州215104

出　　处：《苏州科技学院学报（自然科学版）》2008年第3期18-22,31,共6页Journal of Suzhou University of Science and Technology （Natural Science Edition）

摘　　要：考虑高阶椭园型方程谱的带权估计,利用方程谱理论、分部积分和Schwartz不等式等方法,建立了用前n个谱来估计第n+1个谱的上界的不等式,其估计系数与所讨论的区域度量无关,其结果是一些研究的进一步推广,在力学和物理学中有一定的应用价值。This paper studies weighted estimates of eigenvalues for elliptic equations with higher orders. The inequality of the upper bound of the （n＋1） eigenvalues is estimated from the first n eigenvalues by using eigenvalue theory, integral and inequality estimation. The estimate coefficients are not related to the measure of the domain discussed. The results are the generalization of the theorems and have potential values in mechanics and physics.

关 键 词：椭园型方程 谱 特征函数 带权估计 

分 类 号：O175.1[理学—数学]