FLRW 时空中具有正初始能量的非线性克莱因-戈登方程爆炸的充分条件

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-25 DOI:10.1016/j.na.2024.113582

Jonathon McCollum , Gregory Mwamba , Jesús Oliver

引用次数: 0

摘要

在本文中，我们证明了在弗里德曼-勒梅特-罗伯逊-沃克空间中具有任意正初始能量的非线性克莱因-戈登方程爆炸的充分条件。这是利用一种成熟的凹性方法实现的，该方法已用于闵科夫斯基空间中的类似 PDEs。这一证明依赖于与该方程相关的能量不等式 E(t0)≥E(t)，在此也用几何方法证明了这一点。

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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A sufficient condition for blowup of the nonlinear Klein–Gordon equation with positive initial energy in FLRW spacetimes

In this paper we demonstrate a sufficient condition for blowup of the nonlinear Klein–Gordon equation with arbitrarily positive initial energy in Friedmann–Lemaître–Robertson–Walker spacetimes. This is accomplished using an established concavity method that has been employed for similar PDEs in Minkowski space. This proof relies on the energy inequality associated with this equation, $E (t_{0}) \geq E (t)$ , also proved herein using a geometric method.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.