Uniqueness of stationary distribution and exponential convergence for distribution dependent SDEs
نویسندگان
چکیده
The existence and uniqueness of stationary distributions the exponential convergence in $ L^p $-Wasserstein distance are derived for SDEs driven by distribution dependent noise without uniformly dissipative drift. By using Talagrand inequality associated decoupled equations, global local convergences established, explicit rate is obtained. Our results can be applied to Curie-Weiss model granular media double-well landscape with quadratic interaction noise.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S
سال: 2023
ISSN: ['1937-1632', '1937-1179']
DOI: https://doi.org/10.3934/dcdss.2023003