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arXiv · 0909.2818

Lower bounds for the spectrum of the Laplace and Stokes operators

Alexei A. Ilyin
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Abstract

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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Alexei A. Ilyin. 2009-09-15. Lower bounds for the spectrum of the Laplace and Stokes operators. https://arxiv.org/abs/0909.2818

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