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Название: Some Solutions of the Boltzmann Equation Without Angular Cutoff
Автор: Alexandre R.
We show the existence of local or global in time solutions for the non-homogeneous Boltzmann equation. This is done under the assumptions that initial data are smaller than a suitable Maxwellian and that collisional cross-sections do not satisfy Grad’s angular cutoff. Partial regularity in space-velocity of the solutions constructed herein is also proved.