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Harnack inequalities on a manifold with positive or negative Ricci curvature

Abstract:
Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.

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Publisher copy:
10.4171/RMI/253

Authors



Journal:
Revista Matematica Iberoamericana More from this journal
Volume:
15
Issue:
1
Pages:
143-179
Publication date:
1999-01-01
DOI:
ISSN:
0213-2230


Language:
English
Pubs id:
pubs:147552
UUID:
uuid:c14d2cfe-aae0-4c50-ba07-a8536e4b17fb
Local pid:
pubs:147552
Source identifiers:
147552
Deposit date:
2012-12-19

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