ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT

@inproceedings{Friedlander2002ONTD,
  title={ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT},
  author={Leonid Friedlander},
  year={2002}
}
Let Ω0 be a domain in the cube (0, 2π) , and let χτ (x) be a function that equals 1 inside Ω0, equals τ in (0, 2π) n \ Ω0, and that is extended periodically to R. It is known that, in the limit τ →∞, the spectrum of the operator −∇χτ (x)∇ exhibits the band-gap structure. We establish the asymptotic behavior of the density of states function in the bands. 

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