具有硬势的空间齐次朗道方程的解析Gelfand-Shilov平滑效应

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI:10.3934/dcdsb.2023157

Hao-Guang Li, Chao-Jiang Xu

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引用次数: 1

摘要

本文给出了一个改进的新论点，证明了具有$ L^2(\mathbb{R}^3) $初始基准的非线性空间齐次硬势朗道方程的Cauchy问题解在$ S^1_1(\mathbb{R}^3) $类中具有解析Gelfand-Shilov正则化效应，解析半径的演化与热方程相似。

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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Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation with hard potentials

In this work, we give an improved new argument to prove that the solution of the Cauchy problem for the nonlinear spatially homogeneous Landau equation with hard potentials with $ L^2(\mathbb{R}^3) $ initial datum enjoys a analytic Gelfand-Shilov regularizing effect in the class $ S^1_1(\mathbb{R}^3) $, the evolution of analytic radius is similar to the heat equation.

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来源期刊

Discrete and Continuous Dynamical Systems-Series B 数学-应用数学

CiteScore

2.80

自引率

8.30%

发文量

216

审稿时长

6 months

期刊介绍： Centered around dynamics, DCDS-B is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.