Wu, YakuiSun, Jiawei2021-08-262021-08-262021-05-27Wu, 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. 1-21.1072-6691https://hdl.handle.net/10877/14456We 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).Text21 pages1 file (.pdf)enAttribution 4.0 InternationalLinearized Boltzmann operatorSoft potentialsSpectrumSemigroupTime decayEstimatesArticle