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math.PR2025
Stochastic wave equation with additive fractional noise: solvability and global Hölder continuity
Shuhui Liu, Yaozhong Hu, Xiong Wang
We determine the range of Hurst parameters that provide the necessary and sufficient conditions for the solvability, in , of the stochastic wave equation: $ \frac{\partial…
math.PR2024
In search of necessary and sufficient conditions to solve parabolic Anderson model with rough noise
Shuhui Liu, Yaozhong Hu, Xiong Wang
This paper attempts to obtain necessary and sufficient conditions to solve the parabolic Anderson model with fractional Gaussian noises: $\frac{\partial}{\partial t}u(t,x)=\frac{1}…