Magnetic fields and boundary conditions in spectral and asymptotic analysis
Spectral Theory
2019-03-01 v1 Analysis of PDEs
Abstract
This memoir is devoted to a part of the results from the author about two topics: in the first part, the asymptotics of the low-lying eigenvalues of Schr\"odinger operators in domains that may have corners, and in the second part, the analysis of the thresholds of a class of fibered operators. The main common object is the magnetic Laplacian, and the two parts are connected through the study of model problems in unbounded domains.
Keywords
Cite
@article{arxiv.1902.11143,
title = {Magnetic fields and boundary conditions in spectral and asymptotic analysis},
author = {Nicolas Popoff},
journal= {arXiv preprint arXiv:1902.11143},
year = {2019}
}