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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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Cauchy stability

Cauchy stability

(p.420) 24 Cauchy stability
On the Topology and Future Stability of the Universe

Hans Ringström

Oxford University Press

In Chapter 24, we prove continuous dependence of the solution on the initial data (in the geometric setting). Prior to the statement, we fix notation and conventions. Since we are comparing solutions defined on different manifolds, it is necessary to define appropriate diffeomorphisms in order to be allowed to make the comparison.

Keywords:   continuous dependence on initial data, geometric setting, diffeomorphisms

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