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math.DG2018
Inverse Mean Curvature Flow with Singularities
Beomjun Choi, Pei-Ken Hung
This paper concerns the inverse mean curvature flow of convex hypersurfaces which are Lipschitz in general. After defining a weak solution, we study the evolution of the singularit…
gr-qc2018★ 4 cited
Linear Stability of Higher Dimensional Schwarzschild Spacetimes: Decay of Master Quantities
Pei-Ken Hung, Jordan Keller, Mu-Tao Wang
In this paper, we study solutions to the linearized vacuum Einstein equations centered at higher-dimensional Schwarzschild met- rics. We employ Hodge decomposition to split solutio…
math.DG2018★ 9 cited
The linear stability of the Schwarzschild spacetime in the harmonic gauge: odd part
Pei-Ken Hung
In this paper, we study the odd solution of the linearlized Einstein equation on the Schwarzschild background and in the harmonic gauge. With the aid of Regge-Wheeler quantities, w…