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arXiv · 2405.00735

Exterior stability of Minkowski spacetime with borderline decay

Dawei Shen
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Abstract

In 1993, the global stability of Minkowski spacetime was proved in the celebrated work of Christodoulou and Klainerman. In 2003, Klainerman and Nicol\`o revisited Minkowski stability in the exterior of an outgoing null cone. In 2023, the author extended the results of Christodoulou-Klainerman to minimal decay assumptions. In this paper, we prove that the exterior stability of Minkowski holds with decay that is borderline compared to the minimal decay considered in 2023.

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Dawei Shen. 2024-04-29. Exterior stability of Minkowski spacetime with borderline decay. https://arxiv.org/abs/2405.00735

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