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arxiv: 0909.2818 · v1 · submitted 2009-09-15 · 🧮 math.AP

Lower bounds for the spectrum of the Laplace and Stokes operators

classification 🧮 math.AP
keywords boundslaplaceloweroperatoroperatorsstokesadditionalberezin--li--yau-type
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We prove Berezin--Li--Yau-type lower bounds with additional term for the eigenvalues of the Stokes operator and improve the previously known estimates for the Laplace operator. Generalizations to higher-order operators are given.

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