Boundary renormalisation of stochastic PDEs

12.02.2019 16:30 - 17:30

Máté Gerencsér (IST Austria)

Abstract: Interpreting the continuum parabolic Anderson model on a bounded domain, a naïve attempt leads to a solution theory in which all Robin (including homogeneous Dirichlet or Neumann) solutions coincide. The resolution of this is a boundary renormalisation, which we also discuss in the context of other singular equations such as the KPZ or stochastic quantisation equations. Joint work with Martin Hairer.

M. Beiglböck, N. Berestycki, L. Erdös, J. Maas

HS 11, 2. OG, OMP 1