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Estimates of the first Dirichlet eigenvalue by using diffusion processes
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  • Published: September 1995

Estimates of the first Dirichlet eigenvalue by using diffusion processes

  • Feng-Yu Wang1 

Probability Theory and Related Fields volume 101, pages 363–369 (1995)Cite this article

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, P.R. China

    Feng-Yu Wang

Authors
  1. Feng-Yu Wang
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Additional information

Research supported in part by NSFC and the State Education Commission of China

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Cite this article

Wang, FY. Estimates of the first Dirichlet eigenvalue by using diffusion processes. Probab. Th. Rel. Fields 101, 363–369 (1995). https://doi.org/10.1007/BF01200501

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  • Received: 22 March 1994

  • Revised: 20 October 1994

  • Issue Date: September 1995

  • DOI: https://doi.org/10.1007/BF01200501

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Mathematics Subject Classification (1991)

  • 35P15
  • 58C50
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