Asymptotic behavior of the stochastic heat equation over large intervals

David Candil, Robert C. Dalang, Marta Sanz Solé

We consider a nonlinear stochastic heat equation on $[0,T]\times [-L,L]$, driven by a space-time white noise $W$, with a given initial condition $u_0:\mathbb{R}\to \mathbb{R}$ an…