[Sur la stabilisabilité des équations de la chaleur stochastiques avec bruit multiplicatif]
On démontre qu'une équation parabolique stochastique avec bruit multiplicatif sur un domaine peut être stabilisée par un contrôle agissant seulement sur un sous-domaine si est « assez petit ». On considère le cas des équations linéaires et celui des équations semi-linéaires.
We show that a stochastic heat equation with multiplicative noise on a bounded domain can be stabilized by a control acting only on a subdomain if is sufficiently ‘thin’. We consider both linear and semilinear stochastic heat equations.
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@article{CRMATH_2002__334_4_311_0,
author = {Barbu, Viorel and Lefter, Catalin and Tessitore, Gianmario},
title = {A note on the stabilizability of stochastic heat equations with multiplicative noise},
journal = {Comptes Rendus. Math\'ematique},
pages = {311--316},
publisher = {Elsevier},
volume = {334},
number = {4},
year = {2002},
doi = {10.1016/S1631-073X(02)02259-8},
language = {en},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(02)02259-8/}
}
TY - JOUR AU - Barbu, Viorel AU - Lefter, Catalin AU - Tessitore, Gianmario TI - A note on the stabilizability of stochastic heat equations with multiplicative noise JO - Comptes Rendus. Mathématique PY - 2002 SP - 311 EP - 316 VL - 334 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(02)02259-8/ DO - 10.1016/S1631-073X(02)02259-8 LA - en ID - CRMATH_2002__334_4_311_0 ER -
%0 Journal Article %A Barbu, Viorel %A Lefter, Catalin %A Tessitore, Gianmario %T A note on the stabilizability of stochastic heat equations with multiplicative noise %J Comptes Rendus. Mathématique %D 2002 %P 311-316 %V 334 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(02)02259-8/ %R 10.1016/S1631-073X(02)02259-8 %G en %F CRMATH_2002__334_4_311_0
Barbu, Viorel; Lefter, Catalin; Tessitore, Gianmario. A note on the stabilizability of stochastic heat equations with multiplicative noise. Comptes Rendus. Mathématique, Tome 334 (2002) no. 4, pp. 311-316. doi : 10.1016/S1631-073X(02)02259-8. http://www.numdam.org/articles/10.1016/S1631-073X(02)02259-8/
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