相对论性vlasov-klein-gordon系统的温和解

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/BKMS.b181077

Meixia Xiao, Xianwen Zhang

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引用次数: 1

摘要

本文研究了一维相对论Vlasov-Klein-Gordon系统。该非线性动力学系统由分布函数的输运方程和KleinGordon方程组成。在不假设任意初始粒子密度为0的连续性和紧支持的情况下，通过迭代方法证明了温和解的存在唯一性。

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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MILD SOLUTIONS FOR THE RELATIVISTIC VLASOV-KLEIN-GORDON SYSTEM

In this paper, the relativistic Vlasov-Klein-Gordon system in one dimension is investigated. This non-linear dynamics system consists of a transport equation for the distribution function combined with KleinGordon equation. Without any assumption of continuity or compact support of any initial particle density f0, we prove the existence and uniqueness of the mild solution via the iteration method.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).