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GRADIENT ESTIMATES VIA TWO-POINT FUNCTIONS FOR PARABOLIC EQUATIONS UNDER RICCI FLOW

Part of: Global differential geometry

Published online by Cambridge University Press:  10 June 2020

MIN CHEN Open the ORCID record for MIN CHEN [Opens in a new window]
MIN CHEN*
Affiliation:
University of Science and Technology of China, No. 96, Jin Zhai Road, Baohe District, Hefei, Anhui230026, PR China email cmcm@mail.ustc.edu.cn
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Abstract

We derive estimates relating the values of a solution at any two points to the distance between the points for quasilinear parabolic equations on compact Riemannian manifolds under Ricci flow.

Keywords

gradient estimateparabolic equationRicci flow

MSC classification

Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 102 , Issue 2 , October 2020 , pp. 319 - 330
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

The research is supported by the National Natural Science Foundation of China (nos. 11721101 and 11526212).

References

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