Abstract
This paper is addressed to a semi-linear stochastic transport equation with three unknown parameters. It is proved that the initial displacement, the terminal state and the random term in diffusion are uniquely determined by the state on partial boundary and a Lipschitz stability of the inverse problem is established. The main tool we employ is a global Carleman estimate for stochastic transport equations.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11401404
Funding statement: This work is partially supported by the NSF of China under Grant 11401404.
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