On a multi-dimensional McKean-Vlasov SDE with memorial and singular interaction associated to the parabolic-parabolic Keller-Segel model

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2024-08-18 DOI:10.1080/07362994.2024.2381768

Milica Tomašević, Guillaume Woessner

引用次数: 0

Abstract

In this work, we first prove the well-posedness of the non-linear martingale problem related to a McKean-Vlasov stochastic differential equation with singular interaction kernel in ℝd for d≥3. The ...

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关于与抛物线-抛物线凯勒-西格尔模型相关的具有纪念性和奇异交互作用的多维麦金-弗拉索夫自变函数

在这项工作中，我们首先证明了与 McKean-Vlasov 随机微分方程相关的非线性马氏问题的好拟性，该方程在 ℝd 中具有奇异的交互核，且 d≥3 。这 ...

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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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.