摘要
对欧氏空间Rn中的任一有界区域Ω,用与其等体积的Rn中的球体B(R)的半径给出其第一特征值的下界估计,在一定程度上否定回答了听鼓问题.
LetΩ be a bounded domain in R^n ,this paper obtains a new estimate of its fast eigenvalue in term of the radius of the ball which has same volume with it,and the result gives a negative answer to the hearing drum problem in some extent
出处
《甘肃联合大学学报(自然科学版)》
2008年第6期26-27,共2页
Journal of Gansu Lianhe University :Natural Sciences