3 papers
math.PR2026
Temporal quartic variation for non-linear stochastic heat equations with piecewise constant coefficients
Yongkang Li, Yaozhong Hu, Litan Yan +1
The paper studies a stochastic heat equation with piecewise constant coefficients driven by multiplicative space‑time white noise, proving existence and uniqueness of its mild solu…
math.PR2026
Gaussian fluctuation for spatial average of the space--time fractional stochastic heat equation
Yongkang Li, Yaozhong Hu, Litan Yan
The paper proves quantitative central limit theorems for spatial averages of the one‑dimensional space‑time fractional stochastic heat equation driven by white noise, showing conve…
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…