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arXiv · 2010.02306

On generalized divergence and Laplace operators as a matter of division of distributions

Hugo Aimar·Ivana Gómez
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Abstract

Starting from the approach to the Laplacian with respect to coupling measures and undirected weighted graphs, we provide a setting for a general point of view for a Kirchhoff type divergence and a Laplace operators built on the trivial gradient of order zero $f(y)-f(x)$. We consider some particular classical and new instances of this approach.

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Hugo Aimar, Ivana Gómez. 2020-10-05. On generalized divergence and Laplace operators as a matter of division of distributions. https://arxiv.org/abs/2010.02306

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