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Event

: Denis Grebenkov (CRM & Ecole Polytechnique)

Friday, October 4, 2024 14:00to15:00

Title: The exterior Steklov problem: asymptotic results

´¡²ú²õ³Ù°ù²¹³¦³Ù:ÌýIn this talk, I will present recent asymptotic results for the exterior Steklov problem in theÌýcomplement of a compact Euclidean set. The Steklov problem is first rigorously posed for theÌýmodified Helmholtz equation (p-Delta)u = 0 with a strictly positive parameter p. The asymptoticÌýbehavior of the eigenvalues is then analyzed as p goes to 0. For unbounded domains, the asymptoticÌýformulas depend on the space dimension and exhibit non-analytic terms, i.e., the eigenvalues areÌýnot analytic functions of the parameter p. Some open questions related to spectral, probabilisticÌýand numerical aspects of this spectral problem will be outlined.

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

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Meeting ID: 895 2873 0384

Passcode: 077937

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