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math.PR2023
McKean-Vlasov Stochastic Partial Differential Equations: Existence, Uniqueness and Propagation of Chaos
Wei Hong, Shihu Li, Wei Liu
In this paper, we provide a general framework for investigating McKean-Vlasov stochastic partial differential equations. We first show the existence of weak solutions by combining…
math.PR2023
Large deviation principles for stochastic nonlinear Schrodinger equations driven by Levy noise
Jiahui Zhu, Wei Liu, Jianliang Zhai
In this work we establish a Freidlin-Wentzell type large deviation principle for stochastic nonlinear Schrödinger equation, with either focusing or defocusing nonlinearity, driven…