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arXiv · 2310.07483

Global stability of Minkowski spacetime with minimal decay

Dawei Shen
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Abstract

The global stability of Minkowski spacetime, a milestone in the field, has been proven in the celebrated work of Christodoulou and Klainerman \cite{Ch-Kl} in 1993. In 2007, Bieri \cite{Bieri} has extended the result of \cite{Ch-Kl} under lower decay and regularity assumptions on the initial data. In this paper, we extend the result of \cite{Bieri} to minimal decay assumptions. Also, concerning the treatment of curvature estimates, we replace the vectorfield method used in \cite{Ch-Kl,Bieri} by the $r^p$--weighted estimates of Dafermos and Rodnianski \cite{Da-Ro}.

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Dawei Shen. 2023-10-11. Global stability of Minkowski spacetime with minimal decay. https://arxiv.org/abs/2310.07483

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