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Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative Gaussian noise∗

Published online by Cambridge University Press:  04 July 2013

Viorel Barbu
Viorel Barbu*
Affiliation:
Al.I. Cuza University and Octav Mayer Institute of Mathematics (Romanian Academy), Blvd. Carol I, No. 11, 700506 Iaşi, Romania. [email protected]
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Abstract

The parabolic equations driven by linearly multiplicative Gaussian noise are stabilizable in probability by linear feedback controllers with support in a suitably chosen open subset of the domain. This procedure extends to Navier − Stokes equations with multiplicative noise. The exact controllability is also discussed.

Keywords

Stochastic equationbrownian motionNavier − Stokes equationfeedback controller
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 4 , October 2013 , pp. 1055 - 1063
Copyright
© EDP Sciences, SMAI, 2013

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