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