M. Le Gall

Central Limit Theorem for Stochastic Nonlinear Heat Equation with Pure-Jump L\'evy White Noise

In this article, we consider the stochastic nonlinear heat equation driven by L\'evy space-time white noise in dimension one. For the spatial average of the solution, we prove quantitative and functional central limit theorems under $m_1+m_{2p}<\infty$ for some $p\in(1,\frac{3}{2})$. These results extend the Gaussian f...