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arXiv · 1511.00276

Green's function asymptotics of periodic elliptic operators on abelian coverings of compact manifolds

Minh Kha
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Abstract

The main results of this article provide asymptotics at infinity of the Green's functions near and at the spectral gap edges for "generic" periodic second-order elliptic operators on noncompact Riemannian co-compact coverings with abelian deck groups. Previously, analogous results have been known for the case of $\mathbb{R}^n$ only. One of the interesting features discovered is that the rank of the deck group plays more important role than the dimension of the manifold.

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BibTeXRIS

Minh Kha. 2017-10-30. Green's function asymptotics of periodic elliptic operators on abelian coverings of compact manifolds. https://arxiv.org/abs/1511.00276

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