学术报告（吴冠宇 2025.11.28）

摘要：In this work, we study the stochastic space-time fractional diffusion equation driven by time-independent Gaussian noise. First, based on the Stratonovich expansion, we establish the existence of a solution in the Stratonovich sense. Then, using large deviation techniques combined with Laplace transforms, we derive precise asymptotics for the moments. Finally, by employing a novel moment comparison approach grounded in the hypercontractivity inequality, we obtain a precise asymptotic upper bound for the real-valued moments.