Well-posedness of McKean-Vlasov generalized multivalued BSDEs

Fuente: arXiv
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Main Authors: Liu, Qi, Chen, Yanbo
Format: Preprint
Published: 2025
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_version_ 1866912997205606400
author Liu, Qi
Chen, Yanbo
author_facet Liu, Qi
Chen, Yanbo
contents This paper investigates McKean-Vlasov backward stochastic variational inequalities (BSVIs) whose generator depends on the joint law of the solution. We first establish the existence and uniqueness of the solution under globally Lipschitz and linear growth conditions. The analysis is then extended to the more general case of locally Lipschitz and non-linear growth conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2510_10026
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Well-posedness of McKean-Vlasov generalized multivalued BSDEs
Liu, Qi
Chen, Yanbo
Optimization and Control
Probability
This paper investigates McKean-Vlasov backward stochastic variational inequalities (BSVIs) whose generator depends on the joint law of the solution. We first establish the existence and uniqueness of the solution under globally Lipschitz and linear growth conditions. The analysis is then extended to the more general case of locally Lipschitz and non-linear growth conditions.
title Well-posedness of McKean-Vlasov generalized multivalued BSDEs
topic Optimization and Control
Probability
url https://arxiv.org/abs/2510.10026