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Explicit bounds of the first eigenvalue 被引量:26

Explicit bounds of the first eigenvalue
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摘要 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. 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.
作者 陈木法
出处 《Science China Mathematics》 SCIE 2000年第10期1051-1059,共9页 中国科学:数学(英文版)
关键词 first eigenvdue elliptic operator Riemannian manifold birth-death process first eigenvalue elliptic operator Riemannian manifold birth-death process.
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