A priori bounds for 2-d generalised Parabolic Anderson Model

Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber

We show a priori bounds for solutions to $({\partial }_t-\Delta )u=\sigma (u)\xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269--504, 2014]. We assu…