Yakui Wu, Jiawei Sun
We consider the asymptotic behavior of the linearized Boltzmann equation for soft potentials with cut-off. By introducing a new decomposition of the linearized Boltzmann operator, we analyze the spectrum of the linearized Boltzmann operator and obtain the asymptotic behaviors of the linearized Boltzmann equation for γ in (-3,0), extending the result in  for γ in (-1,0).
Submitted December 9, 2020. Published May 27, 2021.
Math Subject Classifications: 76P05, 35B20, 35B40, 35P20.
Key Words: Linearized Boltzmann operator; soft potentials; spectrum; semigroup; time decay; estimates.
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| Yakui Wu |
School of Mathematical Sciences
Capital Normal University
Beijing 100048, China
| Jiawei Sun |
Department of Mathematics
Shandong Normal University
Jinan 250014, China
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