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

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

2011-04-29

arxiv.org/abs/1104.5648v1

Mathematics

Analysis of PDEs

Scientific paper

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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