| Abstract: |
| We establish here global-in-time well-posedness and stability results for solutions nearby the relativistic Maxwellian to the special relativistic Boltzmann equation without angular cutoff.
We work in the case of a spatially periodic box. We assume the generic soft-potential conditions on the collision kernel in that were derived by Dudy\`nski and Ekiel-Je\.zewska (Commun Math Phys \textbf{115}(4):607--629, 1985). In this physical situation, the angular function in the collision kernel is not locally integrable, and the collision operator behaves like a non-isotropic fractional diffusion operator. |
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