Sharp frequency bounds for eigenfunctions of the Ornstein–Uhlenbeck operator

Sharp frequency bounds for eigenfunctions of the Ornstein–Uhlenbeck operator

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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Veröffentlicht in:Calculus of variations and partial differential equations 2018-10, Vol.57 (5), p.1-16, Article 138
Hauptverfasser: Colding, Tobias Holck, Minicozzi, William P.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Eigenvectors
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
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Beschreibung
Zusammenfassung: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.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-018-1405-z