Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions
Spectral Theory
2022-08-22 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex-valued potentials in dimensions one, two and three.
Cite
@article{arxiv.1903.01810,
title = {Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions},
author = {Orif O. Ibrogimov and David Krejcirik and Ari Laptev},
journal= {arXiv preprint arXiv:1903.01810},
year = {2022}
}