The Spectrum of a Transport Operator with Abstract Boundary Conditions

Abstract

The objective of this paper is to research transport equations with anisotropic continuous energy homogeneous slab geometry for abstract boundary conditions in L_p(1≤p+∝) space.By resolvent operator approach,it is to obtain that the spectrum of the transport operator only consist of finitely many isolate eigenvalues which have a finite algebraic multiplicity in the trip(?)_e.