3 papers
math.PR2026
Stochastic curve shortening flow driven by a transport-type pure jump Lévy noise
Xiaotian Ge, Shijie Shang, Weina Wu +1
We study the existence and uniqueness, the regularity, and the long-time behavior of strong solutions to stochastic curve shortening flow driven by a transport-type pure jump Lévy…
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…