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arXiv · 1612.09304

Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime

Lars Andersson·Pieter Blue·Jérémie Joudioux
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Abstract

This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar results for the wave equation on the exterior of a very slowly rotating Kerr spacetime with recent work applying the vector-field method to the relativistic Vlasov equation.

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Lars Andersson, Pieter Blue, Jérémie Joudioux. 2016-12-29. Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime. https://doi.org/10.1080/03605302.2017.1422517

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