| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842891 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
In this paper, we use the pseudo-differential calculus to analyze the smoothing property of weak solutions to the spatially homogeneous Boltzmann equation. Precisely, we show that for the non-Maxwellian molecules with Debye–Yukawa potential, if the positive weak solution is Lipschitz continuous in the velocity variable, then it lies in the Sobolev space Hloc+∞(R3) and hence it is automatically smooth.
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Authors
Shiyou Lin,