一类偏微分算子谱的上界估计  

Weighted Estimates of Spectra for a Class of Partial Differential Operator

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：《甘肃联合大学学报（自然科学版）》2010年第3期1-4,13,共5页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：考虑一类偏微分算子谱的上界估计,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,其结果是文[2]和[3]的进一步推广.The weighted estimates of spectra for a class of partial differential operator were considered in the paper.The inequality of the upper bound of the（n＋1）th spectrum was estimated from the former n spectra by using spectrum theory,integral and inequality estimation etc..The estimate coefficients do not depend on the measure of the domain in which the problem is concerned.The result in [2]and [3]are the corollary to the theorems in this paper.

关 键 词：偏微分算子 谱 特征函数 上界估计 

分 类 号：O175.2[理学—数学]