English

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

Functional Analysis 2020-10-07 v1 Analysis of PDEs

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)f(y)-f(x). We consider some particular classical and new instances of this approach.

Keywords

Cite

@article{arxiv.2010.02306,
  title  = {On generalized divergence and Laplace operators as a matter of division of distributions},
  author = {Hugo Aimar and Ivana Gómez},
  journal= {arXiv preprint arXiv:2010.02306},
  year   = {2020}
}

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31 pages