The Annals of Probability, Vol. 43, No. 6 (November 2015), pp. 3006-3051 (46 pages) We study the nonlinear stochastic heat equation in the spatial domain ℝ, driven by space-time white noise. A central ...
We study an initial boundary value problem for a heat equation with strong absorption. We first prove that the solution of this problem stays positive for any finite time and converges to the unique ...