Autor:	Cardone, G., Nazarov, S. A., Taskinen, J.
Rok vydání:	2015
Předmět:	Mathematics - Spectral Theory Mathematical Physics 35P05 47A75 49R50 78A50
Zdroj:	Journal of Functional Analysis, 269 (8) (2015), 2328-2364
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jfa.2015.08.001
Popis:	We study the essential spectra of formally self-adjoint elliptic systems on doubly periodic planar domains perturbed by a semi-infinite periodic row of foreign inclusions. We show that the essential spectrum of the problem consists of the essential spectrum of the purely periodic problem and another component, which is the union of the discrete spectra of model problems in the infinite perturbation strip; these model problems arise by an application of the partial Floquet-Bloch-Gelfand transform. Comment: 33 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1509.01375 Zobrazit plný text záznamu View this record from Arxiv