Semiclassical bounds for spectra of biharmonic operators
Spectral Theory
2021-06-23 v3
Abstract
We provide complementary semiclassical bounds for the Riesz means of the eigenvalues of various biharmonic operators, with a second term in the expected power of . The method we discuss makes use of the averaged variational principle (AVP), and yields two-sided bounds for individual eigenvalues, which are semiclassically sharp. The AVP also yields comparisons with Riesz means of different operators, in particular Laplacians.
Keywords
Cite
@article{arxiv.1904.11877,
title = {Semiclassical bounds for spectra of biharmonic operators},
author = {Davide Buoso and Luigi Provenzano and Joachim Stubbe},
journal= {arXiv preprint arXiv:1904.11877},
year = {2021}
}