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 $({\partial }_t-\hat{I}”)u=\ddot{I}ƒ(u)\hat{I}¾$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269--504, 2014]. We a…