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Singular SPDEs in domains with boundaries

  • Mate Gerencser (IST Austria)
A3 01 (Sophus-Lie room)

Abstract

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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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