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

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Volume 9, Issue 2

Tabata Minoru & Eshima Nobuoki

J. Part. Diff. Eq., 9 (1996), pp. 103-110.

Published online: 1996-09

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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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Point spectrum linearized Boltzmann operator external-force potential bounded domain

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@Article{JPDE-9-103, author = {Tabata Minoru and Eshima Nobuoki }, title = {The Point Spectrum of the Linearized Boltzmann Operator with the External-force Term in a Bounded Domain}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {2}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5613.html} }

TY - JOUR T1 - The Point Spectrum of the Linearized Boltzmann Operator with the External-force Term in a Bounded Domain AU - Tabata Minoru & Eshima Nobuoki JO - Journal of Partial Differential Equations VL - 2 SP - 103 EP - 110 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5613.html KW - Point spectrum KW - linearized Boltzmann operator KW - external-force potential KW - bounded domain AB - 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.

Tabata Minoru and Eshima Nobuoki . (1996). The Point Spectrum of the Linearized Boltzmann Operator with the External-force Term in a Bounded Domain. Journal of Partial Differential Equations. 9 (2). 103-110. doi:

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