Radjesvarane Alexandre, Y. Morimoto, S. Ukai, Chao-Jiang Xu, Tong Yang
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Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff
In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every $L^1$ weak solution to the Cauchy problem with finite moments of all order acquires the $C^\infty$ regularity in the velocity variable for the positive time.
期刊介绍：
Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.
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