Abstract
In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every -weak solution to the Cauchy problem with finite moments of all orders acquires the -regularity in the velocity variable for all positive time.
Citation
Radjesvarane Alexandre. Yoshinori Morimoto. Seiji Ukai. Chao-Jiang Xu. Tong Yang. "Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff." Kyoto J. Math. 52 (3) 433 - 463, Fall 2012. https://doi.org/10.1215/21562261-1625154
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