期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 52, 期 3, 页码 2734-2758出版社
SIAM PUBLICATIONS
DOI: 10.1137/19M1265739
关键词
inverse problem; general transport equation; stability estimate; Carleman estimate
资金
- National Science Foundation [DMS-1619778, DMS-1750488]
We consider the inverse problem for the general transport equation with external field, source term, and absorption coefficient. We show that the source and the absorption coefficients can be uniquely reconstructed from the boundary measurement in a Lipschitz stable manner. Specifically, the uniqueness and stability are obtained by using the Carleman estimate, in which a special weight function is designed to pick up information on the desired parameter.
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