On Selfadjoint Subspace of One-Speed Boltzmann Operator
Spectral Theory
2009-10-22 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0709.0013,
title = {On Selfadjoint Subspace of One-Speed Boltzmann Operator},
author = {Roman Romanov and Michael Tihomirov},
journal= {arXiv preprint arXiv:0709.0013},
year = {2009}
}
Comments
english, 17 pages