Nelia Charalambous' Website

Research Interests:

Global Analysis and Partial Differential Equations on manifolds:

The Laplacian operator on functions and differential k-forms over noncompact Riemannian manifolds, spectral properties, heat kernel and eigenvalue estimates. 

The drifting Laplacian over metric measure spaces, its spectrum, heat kernel and eigenvalue estimates, and properties of f-harmonic functions. 

Mathematical Physics: The Yang-Mills heat equation on 3-manifolds with boundary, existence and uniqueness of solutions and integral estimates.