Abstract
In this short note we present a new Harnack expression for the Gaussian curvature flow, which is modeled from the shrinking self similiar solutions. As applications we give alternate proofs of Chow’s Harnack inequality and entropy estimate.
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Acknowledgments
The authors wish to express their appreciation to the anonymous reviewers for expertise comments and careful corrections on the manuscript.
Funding
Supported by the National Natural Science Foundation of China (No. 11971355) and Natural Science Foundation of Zhejiang Province (No. LY22A010007).
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Chen, Cp., Guo, Hx. & Zhu, Cz. A Note on Harnack Type Inequality for the Gaussian Curvature Flow. Acta Math. Appl. Sin. Engl. Ser. 38, 1–4 (2022). https://doi.org/10.1007/s10255-022-1066-8
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DOI: https://doi.org/10.1007/s10255-022-1066-8