非线性 SPDE 解的截断矩图形表示法

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2023-12-04 DOI:10.28924/2291-8639-21-2023-132

B. Smii, Dhaker Kroumi

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引用次数: 0

摘要

我们考虑一个随机偏微分方程驱动的lsamuvy型噪声(SPDE)。特别注意的是测量解的矩的相关函数。利用Feynman图的形式，给出了SPDE的解及其截断矩的和，并根据一些规则求值。在本书的最后，我们将对一些应用作一些评论。

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 Graphical Representation of the Truncated Moment of the Solution of a Nonlinear SPDE

We consider a stochastic partial differential equation driven by a Lévy type noise (SPDE). Particular attention is given to the correlation function which measures the moments of the solution. Using the Feynman graph formalism, the solution of the SPDE as well as its truncated moments are given as a sum over specific graphs that are evaluated according to some rules. A remark on some applications will be given at the end of this work.

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来源期刊

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks