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Estimates of the first Dirichlet eigenvalue by using diffusion processes
Authors:Feng-Yu Wang
Affiliation:(1) Department of Mathematics, Beijing Normal University, 100875 Beijing, P.R. China
Abstract:Summary In this note, we adopt a probabilistic method for estimating the first Dirichlet eigenvalue. The results improve or contain some known ones, especially for large dimension. Moreover, our estimates are sharp for some typical cases.Research supported in part by NSFC and the State Education Commission of China
Keywords:35P15  58C50
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