Talk by Asma Hassannezhad
On January 18th, 2023, Prof. Dr. Asma Hassannezhad (University of Bristol) gave a talk about "Isoperimetric inequalities for mixed Steklov eigenvalues on a surface" as part of the research seminar Analysis of the FernUniversität in Hagen. This lecture is partially supported by the COST action Mathematical models for interacting dynamics on networks.
Abstract
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The talk aims to give an overview of isoperimetric inequalities for the Steklov eigenvalues on a surface with boundary. The Steklov problem describes a vibrating free drum with its mass concentrated along the boundary. Its eigenvalue parameter appears in the boundary condition. We discuss how (possibly hidden) symmetries of the underlying domain can lead to extending classical isoperimetric inequalities for Steklov eigenvalues to mixed Steklov eigenvalues.
