Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Charalambous, N."

Now showing items 1-6 of 6

    • Conference Object  

      Eigenvalue estimates on bakry–Émery manifolds 

      Charalambous, N.; Lu, Z.; Rowlett, J. (Springer Verlag, 2015)
      We demonstrate lower bounds for the eigenvalues of compact Bakry– Émery manifolds with and without boundary. The lower bounds for the first eigenvalue rely on a generalized maximum principle which allows gradient estimates ...
    • Article  

      Heat Kernel Estimates and the Essential Spectrum on Weighted Manifolds 

      Charalambous, N.; Lu, Z. (2013)
      We consider a complete noncompact smooth Riemannian manifold M with a weighted measure and the associated drifting Laplacian. We demonstrate that whenever the q-Bakry–Émery Ricci tensor on M is bounded below, then we can ...
    • Article  

      Initial behavior of solutions to the Yang–Mills heat equation 

      Charalambous, N.; Gross, L. (2017)
      We explore the small-time behavior of solutions to the Yang–Mills heat equation with rough initial data. We consider solutions A(t) with initial value A0∈H1/2(M), where M is a bounded convex region in R3 or all of R3. The ...
    • Article  

      Neumann domination for the Yang-Mills heat equation 

      Charalambous, N.; Gross, L. (2015)
      Long time existence and uniqueness of solutions to the Yang-Mills heat equation have been proven over a compact 3-manifold with boundary for initial data of finite energy. In the present paper, we improve on previous ...
    • Article  

      On the spectrum of the Laplacian 

      Charalambous, N.; Lu, Z. (2014)
      In this article we prove a generalization of Weyl's criterion for the essential spectrum of a self-adjoint operator on a Hilbert space. We then apply this criterion to the Laplacian on functions over open manifolds and get ...
    • Article  

      The Yang-Mills Heat Semigroup on Three-Manifolds with Boundary 

      Charalambous, N.; Gross, L. (2013)
      Long time existence and uniqueness of solutions to the Yang-Mills heat equation is proven over a compact 3-manifold with smooth boundary. The initial data is taken to be a Lie algebra valued connection form in the Sobolev ...