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Global stability of Minkowski spacetime with minimal decay

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arxiv 2310.07483 v1 pith:RTFX2TCK submitted 2023-10-11 math.AP gr-qcmath.DG

Global stability of Minkowski spacetime with minimal decay

Dawei Shen This is my paper
classification math.AP gr-qcmath.DG
keywords citebierich-kldecayassumptionsestimatesglobalminimal
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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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Cited by 5 Pith papers

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  5. The Stability of Minkowski Spacetime

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