Calculus of variations on hypergraphs
Analysis of PDEs
2024-04-01 v3 Combinatorics
Abstract
We have established a coherent framework for applying variational methods to partial differential equations on hypergraphs, which includes the propositions of calculus and function spaces on hypergraphs. Several results related to the maximum principle on hypergraphs have also been proven. As applications, we demonstrated how these can be used to study partial differential equations on hypergraphs.
Cite
@article{arxiv.2403.12394,
title = {Calculus of variations on hypergraphs},
author = {Mengqiu Shao and Yulu Tian and Liang Zhao},
journal= {arXiv preprint arXiv:2403.12394},
year = {2024}
}
Comments
20 pages, 25 references