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math.FA2011
Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
Sebastian Haeseler, Matthias Keller, Daniel Lenz +1
We study Laplacians associated to a graph and single out a class of such operators with special regularity properties. In the case of locally finite graphs, this class consists of…
math-ph2011★ 20 cited
Heat kernel estimates and related inequalities on metric graphs
Sebastian Haeseler
We consider metric graphs with Kirchhoff boundary conditions. We study the intrinsic metric, volume doubling and a Poincaré inequality. This enables us to prove a parabolic Harnack…