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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2024

Exterior stability of Minkowski spacetime with borderline decay

Dawei Shen
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Résumé

In 1993, the global stability of Minkowski spacetime has been proven in the celebrated work of Christodoulou and Klainerman \cite{Ch-Kl}. In 2003, Klainerman and Nicol\`o \cite{Kl-Ni} revisited Minkowski stability in the exterior of an outgoing null cone. In \cite{Shen23}, the author extended the results of \cite{Ch-Kl} to minimal decay assumptions. In this paper, we prove that the exterior stability of Minkowski holds with decay which is borderline compared to the minimal decay considered in \cite{Shen23}.
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hal-04565085 , version 1 (01-05-2024)

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  • HAL Id : hal-04565085 , version 1

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Dawei Shen. Exterior stability of Minkowski spacetime with borderline decay. 2024. ⟨hal-04565085⟩
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