报告题目：由分数高斯噪声驱动的抛物型安德森模型的解的充要条件

报告时间：2024-08-07  15:30-17:00

报 告 人：王雄  助理教授（约翰霍普金斯大学）

报告地点：理学院东北楼二楼报告厅（209）

Abstract: In this talk, we attempt to discuss necessary and sufficient conditions to solve the parabolic Anderson model with fractional Gaussian noises: , where is the fractional Brownian field with temporal Hurst parameter and spatial Hurst parameters . When and when we show that the condition is necessary and sufficient to ensure the existence of a unique solution for the parabolic Anderson Model. When , we find the necessary and sufficient condition on the Hurst parameters so that each chaos of the solution candidate is square integrable.