Decay of eigenfunctions of elliptic PDE's
Spectral Theory
2013-07-01 v1 Analysis of PDEs
Abstract
We study exponential decay of eigenfunctions of self-adjoint higher order elliptic operators on . We show that the possible critical decay rates are determined algebraically. In addition we show absence of super-exponentially decaying eigenfunctions and a refined exponential upper bound.
Keywords
Cite
@article{arxiv.1306.6878,
title = {Decay of eigenfunctions of elliptic PDE's},
author = {Ira Herbst and Erik Skibsted},
journal= {arXiv preprint arXiv:1306.6878},
year = {2013}
}