On the approximate controllability of stochastic stokes systems
作者:
Enrique Fernández-Cara,
José D. Martín,
José Real,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 1999)
卷期:
Volume 17,
issue 4
页码: 563-577
ISSN:0736-2994
年代: 1999
DOI:10.1080/07362999908809620
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
In this paper, we analyze the approximate controllability in quadratic mean of some systems governed by stochastic partial differential equations of the Stokes kind. When the noise is state-independent, we obtain satisfactory results, similar to those known for the corresponding deterministic system. In the more complicate case of a multiplicative noise, we are able to give (only) partial results. More precisely, we prove in this case that approximate controllability is equivalent to the unique continuation property for a particular backward (adjoint) stochastic system
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