The Global Nonlinear Stability of Minkowski Space for the Massless Einstein-Vlasov System [0.03%]
massless埃森斯坦-瓦拉斯系统中的米克沃伊空间的全局非线性稳定性
Martin Taylor
Martin Taylor
Minkowski space is shown to be globally stable as a solution to the Einstein-Vlasov system in the case when all particles have zero mass. The proof proceeds by showing that the matter must be supported in the "wave zone", and then proving a...
Sharp Decay Estimates for the Logarithmic Fast Diffusion Equation and the Ricci Flow on Surfaces [0.03%]
二维空间中对数型快速扩散方程和里奇流的尖锐衰减估计式
Peter M Topping,Hao Yin
Peter M Topping
We prove the sharp local L 1 - L ∞ smoothing estimate for the logarithmic fast diffusion equation, or equivalently, for the Ricci flow on surfaces. Our estimate almost instantly implies an improvement of the known L p - L ∞ ...
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case [Formula: see text] [0.03%]
带电离宇方程在Kerr时空中的情形I：[公式]的情况下的有界性和衰减性问题
Mihalis Dafermos,Gustav Holzegel,Igor Rodnianski
Mihalis Dafermos
We prove boundedness and polynomial decay statements for solutions of the spin ± 2 Teukolsky equation on a Kerr exterior background with parameters satisfying | a | ≪ M . The bounds are obtained by introducing generalisations ...