TITLE

Mixed principal eigenvalues in dimension one

AUTHOR(S)
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui
PUB. DATE
April 2013
SOURCE
Frontiers of Mathematics in China;Apr2013, Vol. 8 Issue 2, p317
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This is one of a series of papers exploring the stability speed of one-dimensional stochastic processes. The present paper emphasizes on the principal eigenvalues of elliptic operators. The eigenvalue is just the best constant in the L-Poincaré inequality and describes the decay rate of the corresponding diffusion process. We present some variational formulas for the mixed principal eigenvalues of the operators. As applications of these formulas, we obtain case by case explicit estimates, a criterion for positivity, and an approximating procedure for the eigenvalue.
ACCESSION #
86406847

 

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