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Some Remarks on Davie’s Uniqueness Theorem

Published online by Cambridge University Press:  16 March 2016

A. V. Shaposhnikov*
Affiliation:
Department of Mechanics and Mathematics, Moscow State University, 119991 Moscow, Russia (shal1t7@mail.ru)
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Abstract

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We present a new approach to Davie’s theorem on the uniqueness of solutions to the equation

for almost all Brownian paths. A generalization of this result and a discussion of some closely related problems are given.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2016