Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative gaussian noise
ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 4, pp. 1055-1063.

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.

DOI : 10.1051/cocv/2012044
Classification : 35Q30, 60H15, 35B40
Mots clés : stochastic equation, brownian motion, Navier − Stokes equation, feedback controller
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     title = {Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative gaussian noise},
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Barbu, Viorel. Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative gaussian noise. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 4, pp. 1055-1063. doi : 10.1051/cocv/2012044. http://www.numdam.org/articles/10.1051/cocv/2012044/

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