# American Institute of Mathematical Sciences

April  2019, 39(4): 2173-2185. doi: 10.3934/dcds.2019091

## Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback

 Alexandru Ioan Cuza University, Department of Mathematics, Octav Mayer Institute of Mathematics (Romanian Academy), 700506 Iaşi, Romania

Received  May 2018 Revised  September 2018 Published  January 2019

Fund Project: This work was supported by a grant of the "Alexandru Ioan Cuza" University of Iasi, within the Research Grants program, Grant UAIC, code GI-UAIC-2018-03.

In the present paper it is designed a simple, finite-dimensional, linear deterministic stabilizing boundary feedback law for the stochastic Burgers equation with unbounded time-dependent coefficients. The stability of the system is guaranteed no matter how large the level of the noise is.

Citation: Ionuţ Munteanu. Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback. Discrete & Continuous Dynamical Systems - A, 2019, 39 (4) : 2173-2185. doi: 10.3934/dcds.2019091
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