Abstract for the talk on 12.01.2018 (11:00 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Mate Gerencser (IST Austria)
Singular SPDEs in domains with boundaries
We discuss the behavior of singular stochastic PDEs in the presence of boundaries and boundary conditions (Dirichlet, Neumann, Robin). With the theory of regularity structures we derive solution theories for a number of equations, some of which behave exactly as one would naively expect, while some do not, and certain `boundary renormalisations' take place. Joint work with Martin Hairer.