2020/09/25 by Ariel Salort, Salort, Ariel M.
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2009.12460
openalex publication_date 2020/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are obtained via a careful study of oscillating functions on the boundary and a precise estimate of the L^∞ bound of eigenfunctions. As an application we provide some estimates on the first nontrivial curve of the Dancer-Fuč'ık spectrum.