Abstract
We prove a strong ergodicity result for a generalized class of non-linear heat equations in the space C 0[0,1], subject to a white noise forcing term. The law of the process, at a fixed moment of time, is shown to converge in the total variation norm towards an invariant measure, which is the Boltzmann-Gibbs state associated with some potential. These results constitute a basis for further studies on simulated annealing on the Wiener space
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