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, issue 12, 627-635

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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https://doi.org/10.1155/S1085337502206053

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:12:p:627-635

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