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math.PR2024
Stochastic PDEs with Generalized Coercivity: Global Well-Posedness and Finite Time Extinction
Wei Hong, Shihu Li, Wei Liu
This work investigates the global existence, uniqueness, and Feller property for stochastic partial differential equations under generalized coercivity conditions, particularly in…
math.PR2024
Large Deviation Principle for Multi-Scale Fully Local Monotone Stochastic Dynamical Systems with Multiplicative Noise
Wei Hong, Wei Liu, Luhan Yang
This paper is devoted to proving the small noise asymptotic behaviour, particularly large deviation principle, for multi-scale stochastic dynamical systems with fully local monoton…