Abstract
ABSTRACT The purpose of this paper is to investigate a class of time-dependent nonlinear neutron transport equation. The linearized stability of stationary solutions are given using the principle in (Nobuyuki Kato. A Principle of Linearized Stability for Nonlinear Evolution Equation. Trans. Amer. Math. Soci. 1995, 347(8), 2851–2868.) Especially, the case of a slab with various boundary and initial conditions are discussed.
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