Abstract

We will discuss how to study renormalisation of Stochastic PDEs in the presence of Boundary conditions, using the flow approach introduced by Pawel Duch. In particular we look at the Phi^4 equation with Dirichlet boundary conditions on a general domain with smooth boundary. We find the need for additional renormalisation accounting for the boundary conditions, as in previous work of Gerencer and Hairer. We show that this boundary renormalisation can be taken constant even for domains with curved boundary. This is joint work with Majdouline Borji and Leonard Ferdinand.

This talk is part of the series “Probability, Statistical Mechanics and Quantum Fields”. The program can be found here:

https://math.sissa.it/content/probability-statistical-mechanics-and-quantum-fields