کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774236 | 1413551 | 2017 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the spectral Dirichlet problem for the Laplace operator in the plane Ωâ with double-periodic perforation but also in the domain Ω
- with a semi-infinite foreign inclusion so that the Floquet-Bloch technique and the Gelfand transform do not apply directly. We describe waves which are localized near the inclusion and propagate along it. We give a formulation of the problem with radiation conditions that provides a Fredholm operator of index zero. The main conclusion concerns the spectra Ïâ and Ï
- of the problems in Ωâ and Ω
- , namely we present a concrete geometry which supports the relation Ïââ«Ï
- due to a new non-empty spectral band caused by the semi-infinite inclusion called an open waveguide in the double-periodic medium.
- with a semi-infinite foreign inclusion so that the Floquet-Bloch technique and the Gelfand transform do not apply directly. We describe waves which are localized near the inclusion and propagate along it. We give a formulation of the problem with radiation conditions that provides a Fredholm operator of index zero. The main conclusion concerns the spectra Ïâ and Ï
- of the problems in Ωâ and Ω
- , namely we present a concrete geometry which supports the relation Ïââ«Ï
- due to a new non-empty spectral band caused by the semi-infinite inclusion called an open waveguide in the double-periodic medium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 2, 15 July 2017, Pages 1387-1418
Journal: Journal of Differential Equations - Volume 263, Issue 2, 15 July 2017, Pages 1387-1418
نویسندگان
G. Cardone, T. Durante, S.A. Nazarov,