Lower bounds for the spectrum of the Laplace and Stokes operators

Details Lower bounds for the spectrum of the Laplace and Stokes operators Lower bounds for the spectrum of the Laplace and Stokes operators

2009-09-15

arxiv.org/abs/0909.2818v1

Mathematics

Analysis of PDEs

Scientific paper

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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