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Sharp frequency bounds for eigenfunctions of the Ornstein–Uhlenbeck operator

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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.

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Authors and Affiliations

  1. Department of Mathematics, MIT, 77 Massachusetts Avenue, Cambridge, MA, 02139-4307, USA

    Tobias Holck Colding & William P. Minicozzi II

Authors
  1. Tobias Holck Colding
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  2. William P. Minicozzi II
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Corresponding author

Correspondence to Tobias Holck Colding.

Additional information

Communicated by L. Ambrosio.

The authors were partially supported by NSF Grants DMS 1404540, DMS 1206827 and DMS 1707270.

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Colding, T.H., Minicozzi, W.P. Sharp frequency bounds for eigenfunctions of the Ornstein–Uhlenbeck operator. Calc. Var. 57, 138 (2018). https://doi.org/10.1007/s00526-018-1405-z

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  • DOI: https://doi.org/10.1007/s00526-018-1405-z

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