Estimates of derivatives of the heat kernel on a compact Riemannian manifold
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- by Elton P. Hsu PDF
- Proc. Amer. Math. Soc. 127 (1999), 3739-3744 Request permission
Abstract:
We give global estimates on the covariant derivatives of the heat kernel on a compact Riemannian manifold on a fixed finite time interval. The proof is based on analyzing the behavior of the heat kernel along Riemannian Brownian bridge.References
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Additional Information
- Elton P. Hsu
- Email: elton@math.nwu.edu
- Published electronically: May 13, 1999
- Additional Notes: The research was supported in part by NSF grant 9406888-DMS
- Communicated by: Stanley Sawyer
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3739-3744
- MSC (1991): Primary 58G32; Secondary 60J60
- DOI: https://doi.org/10.1090/S0002-9939-99-04967-9
- MathSciNet review: 1618694