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The parabolic Harnack inequality for quantum graphs

Haeseler, S (Jena)
Friday 30 July 2010, 16:45-17.30

Seminar Room 1, Newton Institute


We consider quantum graphs with Kirchhoff boundary conditions. We study the intrinsic metric, volume doubling and a Poincaré inequality. This enables us to prove a parabolic Harnack inequality. The proof involves various techniques from the theory of strongly local Dirichlet forms.


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