|
Zapiski Nauchnykh Seminarov POMI, 2002, Volume 288, Pages 232–255
(Mi znsl1591)
|
|
|
|
This article is cited in 7 scientific papers (total in 7 papers)
Absolute continuity of the spectrum of the periodic Maxwell operator in a layer
T. A. Suslina St. Petersburg State University, Faculty of Physics
Abstract:
We study the Maxwell operator in a layer $\mathbb R^2\times(0,T)$. It is assumed that an electric permittivity $\varepsilon(\mathbf x)$ and a magnetic permeability $\mu(\mathbf x)$ are periodic along the layer. On the boundary of the layer, we impose conditions of ideal conductivity. Under wide assumptions on $\varepsilon(\mathbf x)$ and $\mu(\mathbf x)$, it is shown that the spectrum of the Maxwell operator is absolutely continuous.
Received: 10.06.2002
Citation:
T. A. Suslina, “Absolute continuity of the spectrum of the periodic Maxwell operator in a layer”, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Zap. Nauchn. Sem. POMI, 288, POMI, St. Petersburg, 2002, 232–255; J. Math. Sci. (N. Y.), 123:6 (2004), 5654–4667
Linking options:
https://www.mathnet.ru/eng/znsl1591 https://www.mathnet.ru/eng/znsl/v288/p232
|
Statistics & downloads: |
Abstract page: | 249 | Full-text PDF : | 83 |
|