# Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative gaussian noise

ESAIM: Control, Optimisation and Calculus of Variations (2013)

- Volume: 19, Issue: 4, page 1055-1063
- ISSN: 1292-8119

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topBarbu, Viorel. "Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative gaussian noise." ESAIM: Control, Optimisation and Calculus of Variations 19.4 (2013): 1055-1063. <http://eudml.org/doc/272931>.

@article{Barbu2013,

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.},

author = {Barbu, Viorel},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {stochastic equation; brownian motion; Navier − Stokes equation; feedback controller; Brownian motion; Navier-Stokes equation},

language = {eng},

number = {4},

pages = {1055-1063},

publisher = {EDP-Sciences},

title = {Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative gaussian noise},

url = {http://eudml.org/doc/272931},

volume = {19},

year = {2013},

}

TY - JOUR

AU - Barbu, Viorel

TI - Note on the internal stabilization of stochastic parabolic equations with linearly multiplicative gaussian noise

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2013

PB - EDP-Sciences

VL - 19

IS - 4

SP - 1055

EP - 1063

AB - 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.

LA - eng

KW - stochastic equation; brownian motion; Navier − Stokes equation; feedback controller; Brownian motion; Navier-Stokes equation

UR - http://eudml.org/doc/272931

ER -

## References

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