保守随机狄拉克-克莱因-戈登系统

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-07-04 DOI:10.1016/j.jfa.2024.110565

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引用次数: 0

摘要

本文考虑的是一个由狄拉克方程和克莱因-戈登方程组成的特殊非线性分散随机系统。由于尤卡瓦相互作用，它们被非线性项耦合。我们考虑的是同质乘法噪声的情况，从最小作用形式主义的角度来看，这种噪声似乎是非常自然的。我们能够证明布尔干空间中相应柯西问题的存在性和唯一性。此外，所考虑的模型意味着电荷守恒，这在该系统的确定性类似物中是已知的，我们利用这一点证明了合适初始数据的全局存在性结果。

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 conservative stochastic Dirac-Klein-Gordon system

Considered herein is a particular nonlinear dispersive stochastic system consisting of Dirac and Klein-Gordon equations. They are coupled by nonlinear terms due to the Yukawa interaction. We consider a case of homogeneous multiplicative noise that seems to be very natural from the perspective of the least action formalism. We are able to show existence and uniqueness of a corresponding Cauchy problem in Bourgain spaces. Moreover, the regarded model implies charge conservation, known for the deterministic analogue of the system, and this is used to prove a global existence result for suitable initial data.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis