Abstract and Applied Analysis

PDF
Abstract and Applied Analysis / 2002 / Article

On this page

AbstractCopyright

Open Access

Volume 7 |Article ID 109623 | 9 pages | https://doi.org/10.1155/S1085337502206053

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

Yu. E. Gliklikh1 and L. A. Morozova1

1Mathematics Faculty, Voronezh State University, Voronezh 394006, Russia

Received14 Jun 2002

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.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

76 Views | 292 Downloads | 3 Citations
PDF Download Citation Citation
Order printed copiesOrder

We are committed to sharing findings related to COVID-19 as quickly and safely as possible. Any author submitting a COVID-19 paper should notify us at help@hindawi.com to ensure their research is fast-tracked and made available on a preprint server as soon as possible. We will be providing unlimited waivers of publication charges for accepted articles related to COVID-19. Sign up here as a reviewer to help fast-track new submissions.