Explicit bounds of the first eigenvalue |
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Authors: | CHEN Mufa |
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Institution: | Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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Abstract: | It is proved that the general formulas, obtained recently for the lower bound of the first eigenvalue, can be further bounded
by one or two constants depending on the coefficients of the corresponding operators only. Moreover, the ratio of the upper
and lower bounds is no more than four. |
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Keywords: | first eigenvdue elliptic operator Riemannian manifold birth-death process |
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