On the notion of L   1 -completeness of a stochastic flow on a manifold

Yu. E. Gliklikh and L. A. Morozova

Abstract and Applied Analysis, 2002, vol. 7, 1-9

Abstract:

We introduce the notion of L   1 -completeness for a stochastic flow on manifold and prove a necessary and sufficient condition for a flow to be L   1 -complete. L   1 -completeness means that the flow is complete (i.e., exists on the given time interval) and that it belongs to some sort of L   1 -functional space, natural for manifolds where no Riemannian metric is specified.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:109623

DOI: 10.1155/S1085337502206053

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