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Localisation du spectre et comportement asymptotique des solutions de l’équation de transport des neutrons. (Localization of the spectrum and asymptotic behavior of the transport equation). (French) Zbl 0606.35059

We localize the complex spectrum of the transport operator by means of an implicit curve in \(L^ p\) setting, and an explicite one in \(L^ 2\) setting. We give a direct approach to the asymptotic behaviour of the solution of the transport equation.

MSC:

35P05 General topics in linear spectral theory for PDEs
35B40 Asymptotic behavior of solutions to PDEs
82C70 Transport processes in time-dependent statistical mechanics
35Q99 Partial differential equations of mathematical physics and other areas of application
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