DMS Analysis and Stochastic Analysis Seminar (SASA)

Speaker: Guangqu Zheng (Boston University)

Title: Mild solution for hyperbolic Anderson model with time-independent fractional rough Gaussian noise

Abstract:  In the talk, I will present an ongoing work on the hyperbolic Anderson model (HAM) with spatial dimension. The HAM is driven by a spatial-only rough Gaussian noise that is fractional with Hurst index  and the equation is interpreted in the Skorohod sense. I will explain that our range is optimal and make a comparison to a parabolic counterpart.

This talk is based on a joint work with Xiong Wang (Sun Yat-Sen University, China) and Panqiu Xia (Cardiff University, UK).

Host: Le Chen

For more details, please visit https://webhome.auburn.edu/~lzc0090/SASA/20251022_Zheng.html.