Year: 2025
Type: article
Abstract: We analyze periodic operators on Rn and small perturbations of these operators. The perturbation is periodic in n − 1 directions and has bounded support in the remaining direction. We show that, when the perturbation has a sign, every spectral gap for the unperturbed operator is reduced by the perturbation. We develop a general theory that can be applied to elliptic operators, to systems such as that of linear elasticity, and to Maxwell’s equations.
Authors: Kirsch, Andreas, Schweizer, Ben
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6887837532
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