On Selfadjoint Subspace of One-Speed Boltzmann Operator

Details On Selfadjoint Subspace of One-Speed Boltzmann Operator On Selfadjoint Subspace of One-Speed Boltzmann Operator

2007-08-31

arxiv.org/abs/0709.0013v2

Mathematics

Spectral Theory

english, 17 pages

Scientific paper

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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