具有硬势的朗道方程的格尔方-希洛夫解析平滑效应

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-09-18 DOI:10.1016/j.jde.2024.09.019

Chao-Jiang Xu, Yan Xu

引用次数: 0

摘要

本文在扰动框架下研究了具有硬势能的非均质朗道方程的考奇问题，以达到全局平衡。我们证明，Cauchy 问题的解在正时间内享有具有 Sobolev 初始基准的解析 Gelfand-Shilov 正则化效应。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The analytic Gelfand-Shilov smoothing effect of the Landau equation with hard potential

In this paper, we study the Cauchy problem of the inhomogeneous Landau equation with hard potentials under the perturbation framework to global equilibrium. We prove that the solution to the Cauchy problem enjoys the analytic Gelfand-Shilov regularizing effect with a Sobolev initial datum for positive time.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics