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arXiv · 1608.02463

Dirichlet forms for singular diffusion on graphs

Christian Seifert·Jürgen Voigt
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Abstract

We describe operators driving the time evolution of singular diffusion on finite graphs whose vertices are allowed to carry masses. The operators are defined by the method of quadratic forms on suitable Hilbert spaces. The model also covers quantum graphs and discrete Laplace operators.

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Christian Seifert, Jürgen Voigt. 2016-08-08. Dirichlet forms for singular diffusion on graphs. https://arxiv.org/abs/1608.02463

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