Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Charalambous, Nelia"
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Article
The heat trace for the drifting laplacian and schrodinger operators on manifolds
Charalambous, Nelia; Rowlett, Julie (2019)We study the heat trace for both Schrodinger operators as well as the drifting Laplacian on compact Riemannian manifolds. In the case of a finite regularity (bounded and measurable) potential or weight function, we prove ...
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Article
The spectrum of continuously perturbed operators and the Laplacian on forms
Charalambous, Nelia; Lu, Zhiqin (2019)In this article we study the variation in the spectrum of a self-adjoint nonnegative operator on a Hilbert space under continuous perturbations of the operator. In the particular case of the Laplacian on k-forms over a ...
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Article
The spectrum of the Laplacian on forms over flat manifolds
Charalambous, Nelia; Lu, Zhiqin (2019)In this article we prove that the spectrum of the Laplacian on k-forms over a non compact flat manifold is always a connected closed interval of the non negative real line. The proof is based on a detailed decomposition ...