: Denis Grebenkov (CRM & Ecole Polytechnique)
Title: The exterior Steklov problem: asymptotic results
础产蝉迟谤补肠迟:听In this talk, I will present recent asymptotic results for the exterior Steklov problem in the听complement of a compact Euclidean set. The Steklov problem is first rigorously posed for the听modified Helmholtz equation (p-Delta)u = 0 with a strictly positive parameter p. The asymptotic听behavior of the eigenvalues is then analyzed as p goes to 0. For unbounded domains, the asymptotic听formulas depend on the space dimension and exhibit non-analytic terms, i.e., the eigenvalues are听not analytic functions of the parameter p. Some open questions related to spectral, probabilistic听and numerical aspects of this spectral problem will be outlined.
Where: CRM, Pavillion Andr茅-Aisenstadt, room 5183, and by Zoom听
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Meeting ID: 895 2873 0384
Passcode: 077937
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