NDLI: Lipschitz stability for a semi-linear inverse stochastic transport problem

Content Provider	Scilit
Author	Yin, Zhongqi
Copyright Year	2019
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.
Related Links	http://www.degruyter.com/downloadpdf/j/jiip.ahead-of-print/jiip-2018-0115/jiip-2018-0115.xml
Ending Page	193
Page Count	9
Starting Page	185
ISSN	09280219
e-ISSN	15693945
DOI	10.1515/jiip-2018-0115
Journal	Journal of Inverse and Ill-Posed Problems
Issue Number	2
Volume Number	28
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2020-04-01
Access Restriction	Open
Subject Keyword	Journal of Inverse and Ill-posed Problems Mathematics Applied Mathematics Semi-linear Stochastic Transport Equations Lipschitz Stability Carleman Estimate Journal: Journal of Inverse and Ill-Posed Problems, Issue- 6
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Lipschitz stability for a semi-linear inverse stochastic transport problem