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Generating Flows on Metric Spaces

✍ Scribed by Craig Calcaterra; David Bleecker

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 212 KB
Volume: 248
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6948

No coin nor oath required. For personal study only.

✦ Synopsis

The notion of an arc field on a locally complete but not necessarily locally . compact metric space is introduced as a generalization of a vector field on a manifold. Generalizing the Cauchy᎐Lipschitz Theorem, sufficient conditions on arc fields are given under which the existence and uniqueness of solution curves and flows are proven. A continuous analog of an iterated function system is given as an example.

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