The Point Spectrum of the Linearized Boltzmann Operator with the External-force Term in a Bounded Domain

The Point Spectrum of the Linearized Boltzmann Operator with the External-force Term in a Bounded Domain

Year:    1996

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 2 : pp. 103–110

Abstract

We will investigate the point spectrum on the imaginary axis of the linearized Boltzmann operator with an external-force potential in a bounded domain whose boundary is sufficiently smooth. The boundary condition considered is the perfectly reflective boundary condition. The point spectrum on the imaginary axis is only equal to {0}. However, the null space varies with the common axes of symmetry of the domain and the external-force potential.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JPDE-5613

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 2 : pp. 103–110

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Point spectrum