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Journal Article

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

MPS-Authors
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Andersson,  Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Joudioux,  Jérémie
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1612.09304.pdf
(Preprint), 246KB

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Citation

Andersson, L., Blue, P., & Joudioux, J. (2018). Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime. Communications in Partial Differential Equations, 43(1), 47-65. doi:10.1080/03605302.2017.1422517.


Cite as: https://hdl.handle.net/21.11116/0000-0003-584F-3
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.