: Denis Grebenkov (CRM & Ecole Polytechnique)

Title: The exterior Steklov problem: asymptotic results

Abstract: In this talk, I will present recent asymptotic results for the exterior Steklov problem in the complement of a compact Euclidean set. The Steklov problem is first rigorously posed for the modified Helmholtz equation (p-Delta)u = 0 with a strictly positive parameter p. The asymptotic behavior of the eigenvalues is then analyzed as p goes to 0. For unbounded domains, the asymptotic formulas depend on the space dimension and exhibit non-analytic terms, i.e., the eigenvalues are not analytic functions of the parameter p. Some open questions related to spectral, probabilistic and numerical aspects of this spectral problem will be outlined.

Where: CRM, Pavillion André-Aisenstadt, room 5183, and by Zoom 

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https://umontreal.zoom.us/j/89528730384?pwd=IF10Cg8C0YfogaBlL6F1NboPaQvAaV.1

Meeting ID: 895 2873 0384

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