On the unique solvability of radiative transfer equations with polarization

Vincent Bosboom, Matthias Schlottbom*, Felix L. Schwenninger

*Corresponding author for this work

Research output: Working paper

2 Downloads (Pure)


We investigate the well-posedness of the radiative transfer equation with polarization and varying refractive index. The well-posedness analysis includes non-homogeneous boundary value problems on bounded spatial domains, which requires the analysis of suitable trace spaces. Additionally, we discuss positivity, Hermiticity, and norm-preservation of the matrix-valued solution. As auxiliary results, we derive new trace inequalities for products of matrices.
Original languageEnglish
Publication statusSubmitted - 7 Mar 2022


  • Radiative transfer
  • polarization
  • Well-posedness
  • Semigroup
  • Refractive index


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