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.
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)。