We give a new proof of the fact that the solutions of the stochastic heat equation, started with nonnegative initial conditions, are strictly positive at positive times. The proof uses concentration ...

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 ...