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EXACT CONTROLLABILITY FOR A REFINED STOCHASTIC WAVE EQUATION.
- Source :
-
SIAM Journal on Control & Optimization . 2024, Vol. 62 Issue 1, p563-580. 18p. - Publication Year :
- 2024
-
Abstract
- In this paper, we obtain the exact controllability for a refined stochastic wave equation with three controls by establishing a novel Carleman estimate for a backward hyperbolic-like operator. Compared with the known result [Q. L\"u and X Zhang, Mathematical Control Theory for Stochastic Partial Differential Equations, Springer, Cham, Switzerland, 2021], the novelty of this paper is twofold: (1) Our model contains the effects in the drift terms when we put controls directly in the diffusion terms, which is more sensible for practical applications; (2) We provide an explicit description of the waiting time which is sharp in the case of dimension one and is independent of the coefficents of lower terms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 62
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 175926874
- Full Text :
- https://doi.org/10.1137/22M1537680