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arXiv · 2504.11700

The Gevrey Gelfand-Shilov regularizing effect of the Landau equation with soft potential

Xiao-Dong Cao·Chao-Jiang Xu·Yan Xu
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Abstract

This paper studies the Cauchy problem for the spatially inhomogeneous Landau equation with soft potential in the perturbative framework around the Maxwellian distribution. Under a smallness assumption on the initial datum with exponential decay in the velocity variable, we establish the optimal Gevrey Gelfand-Shilov regularizing effect for the solution to the Cauchy problem.

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Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu. 2025-04-16. The Gevrey Gelfand-Shilov regularizing effect of the Landau equation with soft potential. https://arxiv.org/abs/2504.11700

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