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Spectrum Analysis of the Linearized Relativistic Landau Equation

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Abstract

In this work we prove the complete spectrum structure of the linearized relativistic Landau equation in \(L^2\) by using the semigroup theory and the linear operator perturbation theory. Our results include the physical interesting Coulombic interaction.

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Acknowledgments

The authors gratefully thank a referee for the lengthy detailed comments, which helped to improve the presentation of this paper. The research of the authors was supported in part by the NNSFC Grant 11371151.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, People’s Republic of China

    Lan Luo

  2. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People’s Republic of China

    Hongjun Yu

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  1. Lan Luo
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  2. Hongjun Yu
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Correspondence to Hongjun Yu.

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Luo, L., Yu, H. Spectrum Analysis of the Linearized Relativistic Landau Equation. J Stat Phys 163, 914–935 (2016). https://doi.org/10.1007/s10955-016-1501-4

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  • DOI: https://doi.org/10.1007/s10955-016-1501-4

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