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A class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold

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摘要 In this paper,we study the star-shaped hypersurfaces evolved by a class of inverse mean curvature type flows in the anti-de Sitter-Schwarzschild manifold.We give C^(0),C^(1),C^(2) estimates of the flow.Using these facts,we prove that the solution exists for all time and the principal curvatures converge to 1 polynomially fast.
出处 《Science China Mathematics》 SCIE CSCD 2021年第7期1573-1588,共16页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant No.11831005) a collaboration project funded by National Natural Science Foundation of China and the Research Foundation Flanders(Grant No.11961131001)。
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