Events

Date: 24 February 2026   Time: 14:30 - 15:30

Location: MB503

NOTE: Pre talk intro for non experts starts at 2pm, with seminar starting at 2.30pm

Title: Scattering for the Steklov problem on an infinite wedge

Abstract: The Steklov problem is the spectral problem for the Dirichlet-to-Neumann map (DtN) for the Laplacian–an operator which appears, for example, in the Calderon problem and the Sloshing problem.
Motivated by the Steklov problem on higher dimensional, piecewise smooth Lipschitz domains, we consider the massive DtN map (i.e. the DtN map for -\Delta +M^2) on infinite, asymptotically conic, domains. We develop a scattering theory for the DtN map by proving a limiting absorption principle for this operator and construct the associated scattering matrix. Using this as a tool, we describe the spectrum of the massive DtN on a piecewise smooth, bounded, Lipschitz domain in two dimensions.
Based on joint work with Jeffrey Galkowski and Ruoyu P.T. Wang.