181 citations · 771 across the 48 of their papers we have counts for
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math-ph2002★ 10 cited
Spectral Gaps for Periodic Elliptic Operators with High Contrast: an Overview
Rainer Hempel, Olaf Post
We discuss the band-gap structure and the integrated density of states for periodic elliptic operators in the Hilbert space , for . We specifically consider sit…
math-ph2002★ 1 cited
Eigenvalues in Spectral Gaps of a Perturbed Periodic Manifold
Olaf Post
We consider a non-compact Riemannian periodic manifold such that the corresponding Laplacian has a spectral gap. By continuously perturbing the periodic metric locally we can prove…
math-ph2002
Periodic Manifolds with Spectral Gaps
Olaf Post
We investigate spectral properties of the Laplace operator on a class of non-compact Riemannian manifolds. For a given number we construct periodic (i.e. covering) manifolds su…