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math.PR2024
SVI solutions to stochastic nonlinear diffusion equations on general measure spaces
Benjamin Gess, Michael Röckner, Weina Wu
We establish a framework for the existence and uniqueness of solutions to stochastic nonlinear (possibly multi-valued) diffusion equations driven by multiplicative noise, with the…
math.PR2024
Large deviations for locally monotone stochastic partial differential equations driven by Lévy noise
Weina Wu, Jianliang Zhai, Jiahui Zhu
We establish a Freidlin-Wentzell type large deviation principle (LDP) for a class of stochastic partial differential equations with locally monotone coefficients driven by Lévy noi…