Volume 26, 2020
|Number of page(s)||19|
|Published online||02 October 2020|
Local state observation for stochastic hyperbolic equations*
School of Mathematics, Sichuan University,
Sichuan Province, P.R. China.
2 Department of Mathematics, Sichuan Normal University, Chengdu 610068, P.R. China.
** Corresponding author: firstname.lastname@example.org
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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