Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. (English) Zbl 1247.35085
Summary: 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 orders acquires the \(C^{\infty}\)-regularity in the velocity variable for all positive time.
MSC:
| 35Q20 | Boltzmann equations |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35D30 | Weak solutions to PDEs |
References:
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