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NCTS Differential Geometry Seminar
 
16:00 - 17:00, July 20, 2017 (Thursday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
The Estimates of the Gaps of Consecutive Eigenvalue of Laplacian
Daguang Chen (Tsinghua University)

Abstract

In this talk, we will talk about the estimates of the gaps of consecutive eigenvalue of Laplacian. For the eigenvalue problem of the Dirichlet Laplacian on the bounded domain in Euclidean space Rn, we obtain the estimates for the upper bounds of the gap of consecutive eigenvalues which are the best possible in the meaning of the orders of eigenvalues. This is the joint work with Dr. Tao Zheng and Professor Hongcang Yang.



 

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