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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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Concepts of convergence

Concepts of convergence

Chapter:
(p.260) 17 Concepts of convergence
Source:
On the Topology and Future Stability of the Universe
Author(s):

Hans Ringström

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199680290.003.0017

When proving local existence of solutions, it is natural to solve a sequence of related linear equations. The goal is then to prove that the sequence converges to a solution to the nonlinear problem at hand. In the context of such an argument, various notions of convergence arise, and we discuss some of them in Chapter 17.

Keywords:   convergence, local existence, sequences of solutions

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