English

Decay of eigenfunctions of elliptic PDEs, II

Mathematical Physics 2016-12-28 v2 Analysis of PDEs math.MP

Abstract

We study exponential decay rates of eigenfunctions of self-adjoint higher order elliptic operators on R^n. We are interested in decay rates as a function of direction. We show that the possible decay rates are to a large extent determined algebraically.

Keywords

Cite

@article{arxiv.1504.07128,
  title  = {Decay of eigenfunctions of elliptic PDEs, II},
  author = {Ira Herbst and Erik Skibsted},
  journal= {arXiv preprint arXiv:1504.07128},
  year   = {2016}
}

Comments

17 pages, revision adds Section 5