Asymptotic behavior of linearized Boltzmann equations for soft potentials with cut-off
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Date
2021-05-27
Authors
Wu, Yakui
Sun, Jiawei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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 [12] for γ in (-1,0).
Description
Keywords
Linearized Boltzmann operator, Soft potentials, Spectrum, Semigroup, Time decay, Estimates
Citation
Wu, Y., & Sun, J. (2021). Asymptotic behavior of linearized Boltzmann equations for soft potentials with cut-off. <i>Electronic Journal of Differential Equations, 2021</i>(46), pp. 1-21.
Rights
Attribution 4.0 International