On the self-adjoint subspace of the one-velocity transport operator

We study the problem of describing the self-adjoint subspace of the transport operator in an unbounded domain. It is proved that this subspace is nontrivial under perturbations having a lattice of gaps of arbitrarily small length for the one-velocity operator with polynomial collision integral. We a...

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Bibliographic Details
Published in:Mathematical Notes 2011-02, Vol.89 (1-2), p.106-116
Main Authors: Romanov, R. V., Tikhomirov, M. A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:We study the problem of describing the self-adjoint subspace of the transport operator in an unbounded domain. It is proved that this subspace is nontrivial under perturbations having a lattice of gaps of arbitrarily small length for the one-velocity operator with polynomial collision integral. We also consider the three-dimensional transport operator.
ISSN:0001-4346
1573-8876
DOI:10.1134/S0001434611010111