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August 9, 2025ESAIM Control Optimisation and Calculus of Variations

Lp-estimate for mean-field type FBSDEs

Mengru Wang Bing Xie Zhiyong Yu

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Key Points

The study establishes existence and estimates of solutions for mean field type FBSDEs, focusing on L^p results.
Key findings show that solutions exhibit continuous dependence on parameters in terms of p-th power integrability.
Analysis includes optimal controls in mean field type linear-quadratic problems, enhancing understanding of these systems.
Results apply to nonlinear MF-FBSDEs and Hamiltonian systems, contributing to the theory of stochastic differential equations.

Implication

Analysis reveals Lp-regularity in mean field FBSDEs, suggesting solutions depend on parameters effectively.

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Cite This Study

Wang et al. (2025) studied this question.

synapsesocial.com/papers/68c1c32154b1d3bfb60f0ecb https://doi.org/10.1051/cocv/2025066

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