Inverse Source Problems in Transport Equations

@article{Bal2007InverseSP,
  title={Inverse Source Problems in Transport Equations},
  author={Guillaume Bal and Alexandru Tamasan},
  journal={SIAM J. Math. Analysis},
  year={2007},
  volume={39},
  pages={57-76}
}
Abstract. This paper proposes an iterative technique to reconstruct the source term in transport equations, which account for scattering effects, from boundary measurements. In the two-dimensional setting, the full outgoing distribution in the phase space (position and direction) needs to be measured. In three space dimensions, we show that measurements for angles that are orthogonal to a given direction are sufficient. In both cases, the derivation is based on a perturbation of the inversion… CONTINUE READING