The sharp estimates of eigenvalues of Polyharmonic operator and higher order Stokes operator
Mathematical Physics
2014-07-16 v1 math.MP
Spectral Theory
Abstract
In this paper, we establish some lower bounds for the sums of eigenvalues of the polyharmonic operator and higher order Stokes operator, which are sharper than the recent results in \cite{CSWZ13, I13}. At the same time, we obtain some certain bounds for the sums of positive and negative powers of eigenvalues of the polyharmonic operator.
Cite
@article{arxiv.1407.3972,
title = {The sharp estimates of eigenvalues of Polyharmonic operator and higher order Stokes operator},
author = {Daguang Chen and He-Jun Sun},
journal= {arXiv preprint arXiv:1407.3972},
year = {2014}
}
Comments
14 pages. All comments are welcome