Spectral gap properties of perturbed periodic media

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dc.contributor.authorKirsch, Andreas
dc.contributor.authorSchweizer, Ben
dc.date.accessioned2025-06-04T09:55:09Z
dc.date.available2025-06-04T09:55:09Z
dc.date.issued2025-05-15
dc.description.abstractWe 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.en
dc.identifier.urihttp://hdl.handle.net/2003/43723
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-25497
dc.language.isoen
dc.subjectband gapen
dc.subjectBloch wavesen
dc.subjectperturbation of periodic operatorsen
dc.subject.ddc610
dc.titleSpectral gap properties of perturbed periodic mediaen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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