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. © 2002 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
Barbu, V., Lefter, C., Tessitore, G. (2002). A note on the stabilizability of stochastic heat equations with multiplicative noise. COMPTES RENDUS MATHÉMATIQUE, 334(4), 311-316 [10.1016/S1631-073X(02)02259-8].
A note on the stabilizability of stochastic heat equations with multiplicative noise
TESSITORE, GIANMARIO
2002
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. © 2002 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
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