Edge states for second order elliptic operators in a channel - Archive ouverte HAL
Journal Articles Journal of Spectral Theory Year : 2023

Edge states for second order elliptic operators in a channel

Abstract

We present a general framework to study edge states for second order elliptic operators. We associate an integer valued index to some bulk materials, and we prove that for any junction between two such materials, localised states must appear at the boundary whenever the indices differ.
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hal-03158902 , version 1 (11-09-2024)

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David Gontier. Edge states for second order elliptic operators in a channel. Journal of Spectral Theory, 2023, 12 (3), pp.1155-1202. ⟨10.4171/JST/430⟩. ⟨hal-03158902⟩
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