M. Tabata et N. Eshima, The point spectrum of the linearized Boltzmann operator with an external potential in an unbounded domain, TAIWAN J M, 4(2), 2000, pp. 297-306
We will investigate the point spectrum on the imaginary axis of the lineari
zed Boltzmann operator with an external-force potential in an unbounded dom
ain. The boundary condition considered is the perfectly reflective boundary
condition. We suppose that the boundary surface is sufficiently smooth, bu
t is not cylindrical. In this case, the point spectrum on the imaginary axi
s is only equal to {0}.