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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2020 Issue 3, Pages 28–43 (Mi at15435)

This article is cited in 4 papers

Topical issue

On weak solutions of highly degenerate SDEs

A. Yu. Veretennikovabc

a University of Leeds, Leeds, United Kingdom
b National Research University Higher School of Economics, Moscow, Russia
c Kharkevich Institute for Information Transmission Problems, Moscow, Russia

Abstract: The existence and weak uniqueness of a weak solution of a highly degenerate stochastic differential equation, along with its local mixing property, are established via Girsanov's transformation.

Keywords: stochastic differential equation, weak solution, weak uniqueness, local mixing, Girsanov transformation.

Presented by the member of Editorial Board: B. M. Miller

Received: 20.06.2019
Revised: 14.08.2019
Accepted: 26.09.2019

DOI: 10.31857/S0005231020030034


 English version:
Automation and Remote Control, 2020, 81:3, 398–410

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© Steklov Math. Inst. of RAS, 2025