Multiplicative stochastic heat equations on the whole space
Multiplicative stochastic heat equations on the whole space
We carry out the construction of some ill-posed multiplicative stochastic heat equations on unbounded domains. The two main equations our result covers are the parabolic Anderson model on \mathbb R^3 , and the KPZ equation on \mathbb R via the ColeāHopf transform. To perform these constructions, we adapt the theory ā¦