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On the Topology and Future Stability of the Universe$
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Hans Ringström

Print publication date: 2013

Print ISBN-13: 9780199680290

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199680290.001.0001

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Main weighted estimate

Main weighted estimate

(p.248) 16 Main weighted estimate
On the Topology and Future Stability of the Universe

Hans Ringström

Oxford University Press

When proving local existence of solutions to nonlinear wave equations, estimates of Moser type play an important role. With respect to local coordinates, the Einstein–Vlasov system is a system of integro-partial differential equations. In order to prove local existence of solutions to this system, it is of interest to derive estimates for such equations which are analogous to the Moser estimates. This is the subject of Chapter 16.

Keywords:   estimates, moser estimates, einstein–vlasov system, local existence

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