Abstract View references (31) The spectral Dirichlet problem for the Laplacian is considered in the plane Ω° with double-periodic perforation and in the domain Ω· with a semi-infinite foreign inclusion. Denoted by σ° and σ• the spectra of the problems in Ω° and Ω•, we present a concrete geometry which supports the relation σ°⊂≠'σ• due to a new non-empty spectral band caused by the semi-infinite inclusion called an open waveguide in the double-periodic medium.

Dirichet Laplacian in a perforated plane with semi-infinite inclusions

Durante, T.
2018

Abstract

Abstract View references (31) The spectral Dirichlet problem for the Laplacian is considered in the plane Ω° with double-periodic perforation and in the domain Ω· with a semi-infinite foreign inclusion. Denoted by σ° and σ• the spectra of the problems in Ω° and Ω•, we present a concrete geometry which supports the relation σ°⊂≠'σ• due to a new non-empty spectral band caused by the semi-infinite inclusion called an open waveguide in the double-periodic medium.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4716264
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