Lower bounds for the spectrum of the Laplace and Stokes operators

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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Bibliographic Details
Main Author Ilyin, Alexei A
Format Journal Article
LanguageEnglish
Published 15.09.2009
Subjects
Mathematics - Analysis of PDEs
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Summary: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.
DOI:10.48550/arxiv.0909.2818