Radiative Transfer with long-range interactions in the half-space
arXiv:1910.01207 · doi:10.1016/j.jde.2020.06.003
Abstract
We study the well-posedness and regularity theory for the Radiative Transfer equation in the peaked regime posed in the half-space. An average lemma for the transport equation in the half-space is stablished and used to generate interior regularity for solutions of the model. The averaging also shows a fractional regularization gain up to the boundary for the spatial derivatives.
30 pages