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

preprint2011arXivOpen access

Abstract

In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every L1L^1 weak solution to the Cauchy problem with finite moments of all order acquires the C∞C^\infty regularity in the velocity variable for the positive time.

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