On the spectrum of a waveguide with periodic cracks
Abstract
The spectral problem on a periodic domain with cracks is studied. An asymptotic form of dispersion relations is calculated under the assumption that the opening of the cracks is small.
Dedicated to the memory of Pierre Duclos.- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- November 2010
- DOI:
- arXiv:
- arXiv:1007.3656
- Bibcode:
- 2010JPhA...43U4030P
- Keywords:
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- Mathematical Physics;
- Mathematics - Spectral Theory
- E-Print:
- doi:10.1088/1751-8113/43/47/474030