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Estimates of derivatives of the heat kernel on a compact Riemannian manifold
Author(s):
Elton
P.
Hsu
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3739-3744.
MSC (1991):
Primary 58G32;
Secondary 60J60
Posted:
May 13, 1999
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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
Affiliation:
Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email:
elton@math.nwu.edu
DOI:
10.1090/S0002-9939-99-04967-9
PII:
S 0002-9939(99)04967-9
Posted:
May 13, 1999
Additional Notes:
The research was supported in part by NSF grant 9406888-DMS
Communicated by:
Stanley Sawyer
Copyright of article:
Copyright
1999,
American Mathematical Society
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