CLASSICAL TIME DEPENDENT SOLUTION FORNEUTRON TRANSPORT IN A SLAB WITHGENERALIZED BOUNDARY CONDITIONS

This paper is devoted to investigating neutron transport in nonhomogeneous slab with generalized boundary conditions and anisotropic scattering-fission kernel. The time dependent equation and the corresponding transport operator A are discussed in the space of continuous functions. Some aspects of the spectral properties of A (e.g.,the properties of Pas(A) and the dominant eigenvalue of A, etc.) are considered and the exist ence- unique nes s of t he of as s ical t line dep endent so lut ion is obt anied. Furl hermore, an asymptotic expansion (under the maximum norm) of the time dependent solution is givenand the asymptotic behavior is studied.