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Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff

Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff

The spatially homogeneous Boltzmann equation without angular cutoff is discussed on the regularity of solutions for the modified hard potential and Debye-Yukawa potential. When the angular singularity of the cross section is moderate, any weak solution having the finite mass, energy and entropy lies in the Sobolev space of infinite …