English

Sharp frequency bounds for eigenfunctions of the Ornstein-Uhlenbeck operator

Differential Geometry 2017-09-22 v1 Analysis of PDEs

Abstract

We prove sharp bounds for the growth rate of eigenfunctions of the Ornstein-Uhlenbeck operator and its natural generalizations. The bounds are sharp even up to lower order terms and have important applications to geometric flows.

Keywords

Cite

@article{arxiv.1709.07405,
  title  = {Sharp frequency bounds for eigenfunctions of the Ornstein-Uhlenbeck operator},
  author = {Tobias Holck Colding and William P. Minicozzi},
  journal= {arXiv preprint arXiv:1709.07405},
  year   = {2017}
}
R2 v1 2026-06-22T21:50:51.247Z