[AN] Tobias Werner: The Dirichlet Laplacian on a wedge

07 januari 2025 16:00 t/m 17:00 - Locatie: EEMCS Lecture Hall F | Zet in mijn agenda

In this talk, I will present a new result for the Dirichlet Laplacian in wedges and polygons. Motivated by applications to stochastic partial differential equations, we consider appropriately weighted Sobolev spaces designed to capture singular behavior that are capable of incorporating singular behavior of the solutions, both at the boundary, as well as the singularities induced by the boundary itself. The key novelty is that the Dirichlet-Laplacian admits a bounded holomorphic functional calculus. This entails new maximal regularity results, in particular for the corresponding SPDE. The talk is based on joint work with Petru Cioica-Licht and Emiel Lorist.