Problems related to the concentration of eigenfunctions
Analysis of PDEs
2015-10-28 v1 Classical Analysis and ODEs
Differential Geometry
Abstract
We survey recent results related to the concentration of eigenfunctions. We also prove some new results concerning ball-concentration, as well as showing that eigenfunctions saturating lower bounds for -norms must also, in a measure theoretical sense, have extreme concentration near a geodesic.
Cite
@article{arxiv.1510.07723,
title = {Problems related to the concentration of eigenfunctions},
author = {Christopher D. Sogge},
journal= {arXiv preprint arXiv:1510.07723},
year = {2015}
}
Comments
13 pages