A lower bound of the first Steklov-Dirichlet eigenvalue for eccentric annuli

Date/heure
20 novembre 2023
15:30 - 16:30

Oratrice ou orateur
Dong-Hwi Seo

Catégorie d'évènement
Séminaire de géométrie différentielle


Résumé

The Steklov eigenvalue problem is an eigenvalue problem for an operator which is defined in the boundary of a domain. Since the operator is nonlocal, the eigenvalues depend on both the geometries of the interior and the boundary of the domain. In this talk, we consider the Steklov-Dirichlet eigenvalue problem in eccentric annuli and related problems. We obtain a lower bound of the first Steklov-Dirichlet eigenvalues of the eccentric annuli by analyzing the first eigenvalues if the distance between the boundary components are sufficiently close. This is based on joint work with Jiho Hong and Mikyoung Lim.