Year: 2024
Author: Chaojiang Xu, Yan Xu
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 1 : pp. 22–37
Abstract
In this note, we study the Cauchy problem of the linear spatially homogeneous Landau equation with soft potentials. We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time variable with an $L^2$ initial datum for positive time. So that the smoothing effect of Cauchy problem for the linear spatially homogeneous Landau equation with soft potentials is similar to the heat equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2022-0029
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 1 : pp. 22–37
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Spatially homogeneous Landau equation analytic smoothing effect soft potentials.