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Absolute Continuity in Periodic Waveguides |
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| Authors: | Sobolev, Alexander V. Walthoe, Jonathan |
| Affiliation: | Centre for Mathematical Analysis and its Applications, University of Sussex Falmer, Brighton BN1 9QH. A.V.Sobolev{at}sussex.ac.uk Centre for Mathematical Analysis and its Applications, University of Sussex Falmer, Brighton BN1 9QH. J.Walthoe{at}sussex.ac.uk |
| Abstract: | We study second order elliptic operators with periodic coefficientsin two-dimensional simply connected periodic waveguides withthe Dirichlet or Neumann boundary conditions. It is proved thatunder some mild smoothness restrictions on the coefficients,such operators have purely absolutely continuous spectra. Theproof follows a method suggested previously by A. Morame totackle periodic operators with variable coefficients in dimension2. 2000 Mathematical Subject Classification: 35J10, 35P05, 35J25. |
| Keywords: | waveguides absolute continuity analytic perturbations |
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