| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 79 | |
| Number of page(s) | 19 | |
| DOI | https://doi.org/10.1051/cocv/2019049 | |
| Published online | 02 October 2020 | |
Local state observation for stochastic hyperbolic equations*
1
School of Mathematics, Sichuan University,
Chengdu
610064,
Sichuan Province, P.R. China.
2
Department of Mathematics, Sichuan Normal University,
Chengdu
610068, P.R. China.
** Corresponding author: zhongqiyin@sicnu.edu.cn
Received:
25
January
2019
Accepted:
4
August
2019
In this paper, we solve a local state observation problem for stochastic hyperbolic equations without boundary conditions, which is reduced to a local unique continuation property for these equations. This result is proved by a global Carleman estimate. As far as we know, this is the first result in this topic.
Mathematics Subject Classification: 93B07
Key words: Stochastic hyperbolic equation / Carleman estimate / local state observation / local unique continuation
© EDP Sciences, SMAI 2020
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