|
|
| |
| Exact Controllability for a Refined Stochastic Plate Equation |
| |
Citation： |
Qi Lv,Yu WANG.Exact Controllability for a Refined Stochastic Plate Equation[J].Chinese Annals of Mathematics B,2025,46(3):415~442 |
| Page view： 257
Net amount： 116 |
Authors： |
Qi Lv; Yu WANG |
Foundation： |
the National Natural Science Foundation of China (Nos. 12025105,
11971334, 11931011), the Chang Jiang Scholars Program from the Chinese Education Ministry and
the Science Development Project of Sichuan University (Nos. 2020SCUNL101, 2020SCUNL201). |
|
|
| Abstract： |
The classical stochastic plate equation suffers from a lack of exact controllability,
even with controls that are effective in both the drift and diffusion terms and on the
boundary. To address this issue, a one-dimensional refined stochastic plate equation was
previously proposed and established as exactly controllable in [Yu, Y. and Zhang, J. -F.,
Carleman estimates of refined stochastic beam equations and applications, SIAM J. Control
Optim., 60, 2022, 2947–2970]. In this paper, the authors establish the exact controllability
of the multidimensional refined stochastic plate equation with two interior controls and
two boundary controls by a new global Carleman estimate. Furthermore, they show that
at least one boundary control and the action of two interior controls are necessary for exact
controllability. |
Keywords： |
Stochastic plate equation Exact controllability Observability estimate,
Carleman estimate |
Classification： |
93B05, 93B07 |
|
|
Download PDF Full-Text
|
|
|
|
