Abstract
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 language | English |
---|---|
Publisher | ArXiv.org |
DOIs | |
Publication status | Published - 7 Mar 2022 |
Keywords
- Radiative transfer
- polarization
- Well-posedness
- Semigroup
- Refractive index