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

#### Autoren: Lars Andersson, Pieter Blue, Jeremie Joudioux (2018)

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.

Zeitschrift:
Commun. Part. Diff. Eq.
Verlag:
Taylor & Francis
Seiten:
47-65
Band:
43, no. 1

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