Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
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DOI：
10.1090/s0002-9947-08-04574-1
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发表时间：
2006-11
影响因子：
1.3
通讯作者：
L. Desvillettes;G. Furioli;E. Terraneo
中科院分区：
文献类型：
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作者：
L. Desvillettes;G. Furioli;E. Terraneo
我们证明了Gevrey正则性是由麦克斯韦分子的玻尔兹曼方程传播的，有或没有角截断。证明依赖于方程的解的Wild展开和Gevrey正则性的傅立叶变换的表征。
We prove that Gevrey regularity is propagated by the Boltzmann equation with Maxwellian molecules, with or without angular cut-off. The proof relies on the Wild expansion of the solution to the equation and on the characterization of Gevrey regularity by the Fourier transform.