The controllability properties of linear stochastic heat equations were discussed. Carleman inequalities for the heat equations, both forward and backward, were also studied. The linear heat equations were studied applying Dirichlet boundary conditions in the bounded domains and with multiplicative noise. The partial results for the controllability of the forward equations were obtained and the null controllability of the forward equations was proved
Barbu, V., Rascanu, A., Tessitore, G. (2003). Carleman Estimates and Controllability of Linear Stochastic Heat Equations. APPLIED MATHEMATICS AND OPTIMIZATION, 47(2), 97-120 [10.1007/s00245-002-0757-z].
Carleman Estimates and Controllability of Linear Stochastic Heat Equations
TESSITORE, GIANMARIO
2003
Abstract
The controllability properties of linear stochastic heat equations were discussed. Carleman inequalities for the heat equations, both forward and backward, were also studied. The linear heat equations were studied applying Dirichlet boundary conditions in the bounded domains and with multiplicative noise. The partial results for the controllability of the forward equations were obtained and the null controllability of the forward equations was proved
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