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arXiv · 2205.07270

Analytic smoothing effect of linear landau equation with soft potential

Hao-Guang Li·Chao-Jiang Xu
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Abstract

In this work, we study the linear Landau equation with soft potential and show that the solution to the Cauchy problem with initial datum in $L^{2}(\mathbb{R}^3)$ enjoys an analytic regularizing effect, and the evolution of analytic radius is same as heat equations.

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Hao-Guang Li, Chao-Jiang Xu. 2022-05-15. Analytic smoothing effect of linear landau equation with soft potential. https://arxiv.org/abs/2205.07270

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