A note on the stabilizability of stochastic heat equations with multiplicative noise

Abstract

We show that a stochastic heat equation with multiplicative noise on a bounded domain D can be stabilized by a control acting only on a subdomain O⊂ D if D⧹ O is sufficiently ‘thin’. We consider both linear and semilinear stochastic heat equations. To cite this article: V. Barbu et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 311–316.