Fiche du document
1973
Copyright PERSEE 2003-2023. Works reproduced on the PERSEE website are protected by the general rules of the Code of Intellectual Property. For strictly private, scientific or teaching purposes excluding all commercial use, reproduction and communication to the public of this document is permitted on condition that its origin and copyright are clearly mentionned.
Sujets proches
Property--Law and legislation Analysis (Mathematics)Citer ce document
C. Syros, « Spectral properties and finite range elementary solutions of the linear Boltzmann equation », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1973.60788
Métriques
Partage / Export
Résumé
The property of the operator (zδx + 1) to transform a definite class of functions ψ(x,z ) depending on two variables to functions ψ(x) depending only on one variable allows the algebraic determination of the spectral properties of the Boltzmann equation in a finite domain of R1. A number of theorems have been proved regarding the spectrum of characteristic values. In the case of homogeneous boundary conditions the spectral property [formule] has been established, where [formule] satisfy [formule]. The eigenfunctions are under certain conditions invariant against parity, scaling and translation transformation.