Special Session 9: Stochastic Analysis and Large Scale Interacting Systems

Long-time behavior of stochastic heat equations

Kunwoo Kim
POSTECH
Korea
Co-Author(s):    
Abstract:
The long-time behavior of stochastic heat equations perturbed by space-time white noise depends on the spatial domain and the initial data. In this talk, we consider stochastic heat equations on a one-dimensional torus and the real line and investigate how the long-time behavior depends on the spatial domain and the initial data. This is based on joint work with Davar Khoshnevisan and Carl Mueller.