April 2, 2024

Gevrey and Gelfand–Shilov smoothing effect for the spatially inhomogeneous Landau equation with hard potentials

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Abstract

Abstract In this work, we study the Cauchy problem of the spatially inhomogeneous Landau equation with hard potential in torus. It is showed that the smooth mild solution near Maxwellians to the Cauchy problem enjoys a Gelfand–Shilov regularizing effect in velocity variable and Gevrey smoothness property in space variable.

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Hao‐Guang Li (Tue,) studied this question.

synapsesocial.com/papers/68e70b47b6db643587685341 https://doi.org/https://doi.org/10.1088/1361-6544/ad351b

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