- Cheng Ouyang
- University of Illinois at Chicago
- Date: Nov. 29, Wednesday, 2023
- Time: 11:00am -- 12:00pm
- Host: Le Chen
- Room: Parker 326
- Abstract: We study the parabolic Anderson model (PAM) on fractals such as the Sierpinski gasket. Besides proving existence and uniqueness of the solution in the Ito sense, we also obtain precise \(L^p\) estimates for the solution which leads to intermittency properties. Moreover, our results can be generalized to PAM on bounded domains of recurrent metric measure spaces. It covers a large variety of spaces. In particular, our result further clarifies the picture on a near-dichotomy behavior for the energy of the solution discovered by Khoshnevisan et al.