Published February 1, 2017
| Version v1
Journal article
On eigenvalues of a -symmetric operator in a thin layer
Creators
- 1. University of Hradec Králové (Czech Republic)
- 2. Bashkir State Pedagogical University, Ufa (Russian Federation)
- 3. Institute of Mathematics with Computing Centre of the Ufa Scientific Centre of the Russian Academy of Sciences, Ufa (Russian Federation)
- 4. Nuclear Physics Institute of the Czech Academy of Sciences, Řež (Czech Republic)
Description
We consider an elliptic operator with variable coefficients in a thin three-dimensional layer with -symmetric boundary conditions. We study the effect of the appearance of isolated eigenvalues at the edges of the gaps in the essential spectrum. We obtain sufficient conditions that guarantee that such eigenvalues either exist or are absent near a given edge of a gap. In the case of existence, the first terms in the asymptotic expansion of these emerging eigenvalues are calculated.
Bibliography: 34 titles. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1070/SM8657Additional details
Identifiers
- DOI
- 10.1070/SM8657;
Publishing Information
- Journal Title
- Sbornik. Mathematics
- Journal Volume
- 208
- Journal Issue
- 2
- Journal Page Range
- p. 173-199
- ISSN
- 1064-5616
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 51038247
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; EIGENVALUES; EXPANSION; SPECTRA; SYMMETRY; THIN FILMS
- Descriptors DEC
- FILMS; MATHEMATICAL SOLUTIONS