Inverse source problems in transport equations with external forces
Analysis of PDEs
2021-04-27 v1
Abstract
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.
Cite
@article{arxiv.2104.11851,
title = {Inverse source problems in transport equations with external forces},
author = {Ru-Yu Lai and Hanming Zhou},
journal= {arXiv preprint arXiv:2104.11851},
year = {2021}
}
Comments
20 pages