2 papers
math.PR2023
Parabolic Anderson model with rough initial condition: continuity in law of the solution
Xiao Liang
The parabolic Anderson model (PAM) is one of the most interesting and challenging SPDEs related to various physical phenomena, and can be described mathematically as a stochastic h…
math.PR2023
Continuity in law for solutions of SPDEs with space-time homogeneous Gaussian noise
Raluca M. Balan, Xiao Liang
In this article, we study the continuity in law of the solutions of two linear multiplicative SPDEs (the parabolic Anderson model and the hyperbolic Anderson model) with respect to…