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Uniqueness and superposition of the space-distribution dependent Zakai equations by Liu, Meiqi; Qiao, Huijie is a scholarly article available to read on EtoBox.

What is Uniqueness and superposition of the space-distribution dependent Zakai equations about?

The work concerns the space-distribution dependent Zakai equations from nonlinear filtering problems of McKean-Vlasov stochastic differential equations with correlated noises. First of all, we establish the space-distribution dependent Kushner-Stratonovich equations and the space-distribution dependent Zakai equations. Then, the pathwise uniqueness of their strong solutions is shown. Finally, we prove a superposition principle between the space-distribution dependent Zakai equations and space-distribution dependent Fokker-Planck equations. As a by-product, we give some conditions under which space-distribution dependent Fokker-Planck equations have weak solutions.

Author

Liu, Meiqi; Qiao, Huijie

Published

2020

Language

EN