Nelia Charalambous' Website
Research
Links to Publications:
Charalambous N., Lu Z. `The spectrum of the Laplacian on forms over flat manifolds.' To appear in Mathematische Zeitschrift
Charalambous N., Lu Z. The spectrum of continuously perturbed operators and the Laplacian on forms.' Differential Geometry Applications 65:227–240, 2019
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)
Charalambous N., Leal H., Lu Z. Spectral Gaps on complete Riemannian Manifolds.' To appear in Contemporary Mathematics
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)
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