Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback

Ionuţ Munteanu

doi:10.3934/dcds.2019091

Article Contents

2019, Volume 39, Issue 4: 2173-2185. Doi: 10.3934/dcds.2019091

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Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback

Ionuţ Munteanu

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

Received: April 30, 2018

Revised: August 31, 2018

Published: January 2019

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

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Abstract

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.

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Mathematics Subject Classification: 60H15, 76F70, 93B52, 60H20.

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