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The Spectral Dirichlet-Neumann Map for the Laplace Equation in a Smooth Convex Domain

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If you have a question about this talk, please contact Eavan Gleeson .

In this talk we will discuss some of the background and motivation for studying the Dirichlet-Neumann map (henceforth DtN) for a given domain in R2. Further, we will discuss a new spectral-based method for analyzing the DtN map. The talk will begin by discussing some results that have already been established for convex polygons in R2, then we will move on to discussing more current work where analogous results are being proved for smooth domains.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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