Abstract
The Compton effect, that describes the interaction via scattering between photons and electrons, is modelled by a homogeneous quantum kinetic equation. The electrons are assumed to be at nonrelativistic equilibrium, and the scattering of photons by electrons is studied. The kernel in the collision operator presents a strong singularity. The local existence in time of an entropy solution to the Cauchy problem is proven for small initial data.
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