Global Uniqueness for an Inverse Stochastic Hyperbolic Problem with Three Unknowns |
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| Authors: | Qi Lü Xu Zhang |
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| Affiliation: | 1. School of Mathematics Sichuan University, Chengdu, China;2. Yangtze Center of Mathematics, Sichuan University, Chengdu, China |
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| Abstract: | This paper is addressed to an inverse stochastic hyperbolic problem with three unknowns, i.e., a random force intensity, an initial displacement, and an initial velocity. The global uniqueness for this inverse problem is proved by means of a new global Carleman estimate for the stochastic hyperbolic equation. It is found that both the formulation of stochastic inverse problems and the tools to solve them differ considerably from their deterministic counterpart. © 2015 Wiley Periodicals, Inc. |
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