This paper is concerned with the inverse source problem for the transport equation with external force. We show that both direct and inverse problems are uniquely solvable for generic absorption and scattering coefficients. In particular, for inverse problems, generic injectivity and a stability estimate of the source are derived. The analysis employs the Fredholm theorem and the Santalo's formula.
Bibliographical noteFunding Information:
RL was partially supported by NSF grant DMS-2006731 . HZ was partly supported by NSF grant DMS-2109116 .
© 2021 Elsevier Inc.
- Attenuated X-ray transform
- Inverse source problems
- Santalo's formula
- Transport equations