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Bollweg, Georg und Meyer-Brandis, Thilo ORCID logoORCID: https://orcid.org/0000-0002-6374-7983 (Juni 2025): Mean-field stochastic differential equations driven by G-Brownian motion. In: Probability, Uncertainty and Quantitative Risk, Bd. 10, Nr. 2: S. 241-264

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Abstract

This paper introduces a novel formulation of mean-field stochastic differential equations driven by G-Brownian motion. The proposed formulation generalises existing approaches within the G-framework and enables the study of Fréchet differentiability. Under non-Lipschitz conditions on the coefficients, we establish the existence and uniqueness of a solution for square-integrable stochastic initial data.

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