10 citations · 12 across the 4 of their papers we have counts for
4 papers
Generating spectral gaps by geometry
Fernando Lledó, Olaf Post
Motivated by the analysis of Schrödinger operators with periodic potentials we consider the following abstract situation: Let be the Laplacian on a non-compact Riemannian cov…
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…
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…
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…