Mokhtar-Kharroubi, Mustapha 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 C. R. Acad. Sci., Paris, Sér. I 302, 267-270 (1986). 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 Keywords:complex spectrum; transport operator; asymptotic behaviour PDFBibTeX XMLCite \textit{M. Mokhtar-Kharroubi}, C. R. Acad. Sci., Paris, Sér. I 302, 267--270 (1986; Zbl 0606.35059)