Nelia Charalambous' Website
Research
Links to Publications:
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Charalambous N., Lu Z. `The spectrum of the Laplacian on forms over flat manifolds.' To appear in Mathematische Zeitschrift
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Charalambous N., Lu Z. The spectrum of continuously perturbed operators and the Laplacian on forms.' Differential Geometry Applications 65:227–240, 2019
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Charalambous N., Rowlett J. `The heat trace for the drifting Laplacian and Schrodinger operators on manifolds.' To appear in the Asian Journal of Mathematics Vol. 23, 2019 (arXiv:1701.01254)
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Charalambous N., Leal H., Lu Z. Spectral Gaps on complete Riemannian Manifolds.' To appear in Contemporary Mathematics
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Charalambous N., Lu Z. `The differential form spectrum over manifolds with vanishing curvature.' (arXiv:1801.02952) (The article on the arXiv is an earlier version which has been split into two papers and submitted)
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Charalambous N., Gross L. `Initial Behavior of Solutions to the Yang-Mills Heat Equation.' Journal of Mathematical Analysis and Applications 451:873–905, 2017
Charalambous N., Lu Z. `Heat kernel estimates and the essential spectrum on weighted manifolds.' Journal of Geometric Analysis 25:536-563, 2015
Charalambous N., Gross L. `Neumann Domination for the Yang-Mills Heat Equation.' Journal of Mathematical Physics 56, 073505, 2015
Charalambous N., Lu Z., Rowlett J. `Eigenvalue Estimates on Bakry-Emery Manifolds.'
Book Chapter. Elliptic and Parabolic Equations, Springer Proceedings in Mathematics and Statistics 119:45-61, 2015
Charalambous N., Lu Z. `The L^1 Liouville Property on Weighted Manifolds.' Contemporary Mathematics 653:65-79, 2015
Charalambous N., Lu Z. `On the Spectrum of the Laplacian.' Mathematische Annalen 359:211-238, 2014
Charalambous N., Gross L.`The Yang Mills Heat Semigroup on Three Manifolds with Boundary.' Communications in Mathematical Physics 317:727-785, 2013
Charalambous N. `Eigenvalue `Estimates for the Bochner Laplacian and Harmonic Forms on Complete Manifolds.' Indiana University Mathematics Journal 59:183-206, 2010
Charalambous N. `On the Equivalence of Heat Kernel Estimates and Logarithmic Sobolev Inequalities for the Hodge Laplacian.' Journal of Differential Equations 233:291-312, 2007
Charalambous N. `L^2 Harmonic Forms and the Structure of Complete Manifolds.'
Proceedings of the International Conference in Memory of Jose F. Escobar, Revista Matematicas: Ensenanza Universitaria de la ERM, 2007.
Charalambous N. `On the L^p Independence of the Spectrum of the Hodge Laplacian on Non-Compact Manifolds.' Journal of Functional Analysis 224:22-48, 2005