Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

Estimation of spectral gap for elliptic operators

Author(s): Mu-Fa Chen; Feng-Yu Wang
Journal: Trans. Amer. Math. Soc. 349 (1997), 1239-1267.
MSC (1991): Primary 35P15, 60H30
MathSciNet review: 1401516
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Abstract: A variational formula for the lower bound of the spectral gap of an elliptic operator is presented in the paper for the first time. The main known results are either recovered or improved. A large number of new examples with sharp estimate are illustrated. Moreover, as an application of the march coupling, the Poincaré inequality with respect to the absolute distribution of the process is also studied.

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