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arXiv · 1104.5648

Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff

Radjesvarane Alexandre·Yoshinori Morimoto·Seiji Ukai·Chao-Jiang Xu·Tong Yang
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Abstract

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.

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Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai, Chao-Jiang Xu, Tong Yang. 2011-04-29. Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff. https://doi.org/10.1215/21562261-1625154

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