具有二次交互作用的随机非线性薛定谔系统的全局和局部解决方案

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-15 DOI:10.1007/s41980-024-00863-2

Masaru Hamano, Shunya Hashimoto, Shuji Machihara

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引用次数: 0

摘要

本文讨论了带有乘法噪声和二次非线性项的随机薛定谔方程系统解的全局和局部存在性结果。文献[23]研究了确定性处理中的同一系统，其中质量和能量是守恒的。而在我们的随机情况下，质量和能量并不守恒。

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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Global and Local Solutions of Stochastic Nonlinear Schrödinger System With Quadratic Interaction

Global and local existence results for the solutions of systems of stochastic Schrödinger equations with multiplicative noise and quadratic nonlinear terms are discussed in this paper. The same system in the deterministic treatment was studied in [23] where the mass and energy are conserved. In our stochastic situation, those are not conserved.

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.