Spectra of Two-Dimensional Models for Thin Plates with Sharp Edges

Journal article (2010)
Department
Delft Institute of Applied Mathematics (EEMCS) (TU Delft)
Copyright: Society for Industrial and Applied Mathematics
DOI: https://doi.org/doi:10.1137/100788719
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Published Date

07-12-2010

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Source:

SIAM Journal on Mathematical Analysis, 42 (6), 2010

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Abstract

We investigate the spectrum of the two-dimensional model for a thin plate with a sharp edge. The model yields an elliptic $3\times3$ Agmon–Douglis–Nirenberg system on a planar domain with coefficients degenerating at the boundary. We prove that in the case of a degeneration rate $\alpha

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