Enviar artigo por via de e-mail Rigorous Formulation of the Lasing Eigenvalue Problem as a Spectral Problem for a Fredholm Operator Function
- Autores: Spiridonov A.1, Karchevskii E.1, Nosich A.2
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Afiliações:
- Department of Applied Mathematics
- Laboratory of Micro and Nano Optics
- Edição: Volume 39, Nº 8 (2018)
- Páginas: 1148-1157
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203057
- DOI: https://doi.org/10.1134/S1995080218080127
- ID: 203057
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Resumo
We propose a new convenient for mathematical investigation formulation of the lasing eigenvalue problem as a spectral problem for an operator-valued function, which involves boundary integral operators. We prove that these integral operators are weakly singular and the operator of the problem is Fredholm with index zero.
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Sobre autores
A. Spiridonov
Department of Applied Mathematics
Autor responsável pela correspondência
Email: aospiridonov@gmail.com
Rússia, ul. Kremlevskaya 18, Kazan, 420008
E. Karchevskii
Department of Applied Mathematics
Email: aospiridonov@gmail.com
Rússia, ul. Kremlevskaya 18, Kazan, 420008
A. Nosich
Laboratory of Micro and Nano Optics
Email: aospiridonov@gmail.com
Ucrânia, vul. Proskury 12, Kharkiv, 61085
