关于单速Boltzmann算子的自伴子空间
On Selfadjoint Subspace of One-Speed Boltzmann Operator
摘要:
本文的目的是获得一个描述的自伴子空间的单速玻尔兹曼算子。证明了当碰撞积分为多项式且乘法系数具有间隙格时,该子空间是非平凡的。一个类似的结果显示,以保持为3维运输运营商。关键词:完全非自伴,玻尔兹曼算子,测不准原理。
英文摘要:
The aim of the paper is to obtain a description of the selfadjoint subspace of the one-speed Boltzmann operator. It is proved that this subspace is nontrivial if the collision integral is polynomial and the multiplication coefficient has a lattice of gaps. A similar result is shown to hold for the 3-dimensional transport operator. Keywords: completely nonselfadjoint, Boltzmann operator, uncertainly principle.
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